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WorksheetsMath 3 Vocabulary Terms
Total questions: 105
Worksheet time: 53mins
What is an even function?
A function f is even if the graph of f is symmetric with respect to both the x and y-axis.
A function f is even if the graph of f is symmetric with respect to the y-axis.
A function f is even if the graph of f is symmetric with respect to the x-axis.
A function f is even if the graph of f is symmetric with respect to neither the x or y-axis.
What is an odd function?
Odd functions are symmetric with respect to the neither axis.
Odd functions are symmetric with respect to the x-axis
Odd functions are symmetric with respect to the origin
Odd functions are symmetric with respect to the y-axis
What is an union?
A union is a set of equations with neither an A or B
A union is a set of equations with an A and B
The union of two sets A and B is the set of elements which are in A, in B, or in neither A or B.
The union of two sets A and B is the set of elements which are in A, in B, or in both A and B.
What is an absolute value function?
An absolute value function is a function that contains an algebraic expression within absolute value symbols.
An absolute value function is a function whose graph is a straight line, that is a polynomial function of degree one or zero.
An absolute value function is a polynomial function with one or more variables in which the highest-degree term is of the second degree.
An absolute value function is any function which can be defined by a rational fraction, i.e. an algebraic fraction such that both the numerator and the denominator are polynomials.
What is an inverse function?
an inverse function is a relation between sets that associates to every element of a first set exactly one element of the second set.
In mathematics, an inverse function is a function that "equals" another function:
In mathematics, an inverse function is a function that "reverses" another function:
an inverse function is a lack of relation between sets that associates to every element of a first set exactly one element of the second set.
The function shown in the graph is:
even
odd
neither odd nor even
both odd and even
What is a vertex?
The intersection of two line
The middle point of a line
The common endpoint of two or more rays or line segments.
The coefficient in front of a, in a quadratic equation.
What is an Intersection?
a point or line common to lines or surfaces that intersect.
a point or line common to lines or surfaces that are parallel.
an expression of more than two algebraic terms,
an expression of less than two algebraic terms,
What is a Step Function?
those whose graph is a straight line
an algebraic fraction such that both the numerator and the denominator are polynomials.
a function that increases or decreases abruptly from one constant value to another.
a function defined by multiple sub-functions, each sub-function applying to a certain interval of the main function's domain, a sub-domain
What does continuous mean?
A set of data is said to be continuous if the values belonging to the set can take on ANY value within a finite or infinite interval.
A set of data is said to be continuous if the values belonging to the set cannot take on ANY value within a finite or infinite interval.
It is a function that is not a continuous curve, meaning that it has points that are isolated from each other on a graph.
What is multiplicity?
the multiplicity of a member of a multiset is the number of times it appears in the multiset.
the multiplicity of a member of a multiset is the number of times it appears in the number line.
the multiplicity of a member of a multiset is the number of times it appears in the equation.
the multiplicity of a member of a multiset is the number of times it appears in the negative values.
What is Fundamental Theorem of Algebra ?
every polynomial has at least one zero in the rational numbers
every polynomial has at least one zero in the complex numbers
every polynomial has at least one negative zero in the complex numbers
only quadratics have at least one zero in the complex numbers
What are the types of discontinuity?
point, uninterrupted, jump.
uninterrupted, consistent, jump
Infinite, point, jump.
infinite, consistent, point
What is Logarithm?
the inverse function for quadratic functions
the inverse function to exponentiation.
relates an angle to a side ratio
equal to the ratio of the side opposite a given angle (in a right triangle) to the hypotenuse.
Vertical asymptote
Points which correspond to the zeroes of the numerator of a rational function is what type of asymptote
Lines which correspond to the zeroes of the denominator of a rational function
Points which correspond to the zeroes of the denominator of a rational function is what type of asymptote
Lines which correspond to the zeroes of the numerator of a rational function is what type of asymptote
Horizontal asymptote
Lines that the graph of the function approaches as x tends to +∞ or −∞
Points that the graph of the function approaches as x tends to +∞ or −∞
Lines that the graph of the function approaches as y tends to +∞ or −∞
Points that the graph of the function approaches as y tends to +∞ or −∞
Compound Interest
a bank makes you pay interest on both the principal (the original amount of money)and the interest an account has already earned
a bank pays interest on the interest an account has already earned
a bank pays interest on both the principal (the original amount of money)and the interest an account has already earned
a bank pays interest on just the principal (the original amount of money)
What is a logarithmic function
the inverse function to absolute value
the inverse function to linear
the inverse function to exponentiation
the inverse function to quadratics
Compound Continuously
Mathematical limit that compound interest can reach if it's calculated and reinvested into an account's balance over a theoretically infinite number of periods
how much interest is paid by borrowers for the money that they borrow.
Scientific limit that compound interest can reach if it's calculated and reinvested into an account's balance over a theoretically infinite number of periods
speaks to the schedule of interest growing at a given rate. In this case semiannually also known as biannually, refers to twice a year.
Composite function
function that uses multiplication to multiply functions
Operation that takes one function f and g and produces a function h such that h(x) = g.
function that uses subtraction to find the difference
Operation that takes two functions f and g and produces a function h such that h(x) = g.
Product Property for logs
Quotient property for logs
Change of base formula for logs
Inverse Property for logs
Natural base
"i" or the natural exponent.
"e" or the natural exponent.
"a" or the natural exponent.
"y" or the natural exponent.
Natural log
logarithm to the base e of a number.
a number squared
a number cubed
any exponential function
logbx + logby= logb(x⋅y)
Product property
Quotient Property
Power Property
Inverse Property
logbx−logby=logb(yx)
Change of Base
Product Property
Power Property
Quotient Property
logxyz =zlogxy
Quotient Property
Power Property
Change of Base
Product Property
Half Life
the time taken for half of the amount of a material to decay
the time taken for a quarter of the amount of a material to decay
the time taken for all of the amount of a material to decay
the time taken for a third of the amount of a material to decay
Appreciation
value of something increases over time.
value of something decreases over time.
value of something doubles over time.
value of something triples over time.
What are zeroes on a graph?
value(s) of X that cause the polynomial to = 0
value(s) of X that cause the polynomial to be negative.
value(s) of X that cause the polynomial to be positive
value(s) of X that cause the polynomial to be infinity
Cubic Function
a polynomial function of degree 4.
the greatest power of the variable is 2
function defined by a polynomial of degree 3
a polynomial of degree 5
What is a degree?
if a variable is even
if a variable is odd
variable's exponent
if a variable is negative
Depreciation
value of something increases over time.
value of something decreases over time.
value of something doubles over time.
value of something triples over time.
Quartic Function
a polynomial function of degree 4.
the greatest power of the variable is 2
function defined by a polynomial of degree 3
a polynomial of degree 5
Quadratic Function
a polynomial function of degree 4.
the greatest power of the variable is 2
function defined by a polynomial of degree 3
a polynomial of degree 5
Quintic Function
a polynomial function of degree 4.
the greatest power of the variable is 2
function defined by a polynomial of degree 3
a polynomial of degree 5
Minima
a point at which a function's value is greatest.
a point at which a function's value is lowest.
a point at which a function's value is twice its value.
a point at which a function's value is half its value.
Maxima
a point at which a function's value is greatest.
a point at which a function's value is lowest.
a point at which a function's value is twice its value.
a point at which a function's value is half its value.
Synthetic Substitution
a method for manually performing Euclidean division of polynomials, with less writing and fewer calculations than occur with polynomial addition
a method for manually performing Euclidean division of polynomials, with less writing and fewer calculations than occur with polynomial subtraction
a method for manually performing Euclidean division of polynomials, with less writing and fewer calculations than occur with polynomial multiplication
a method for manually performing Euclidean division of polynomials, with less writing and fewer calculations than occur with polynomial long division.
Long Division of Polynomials
an algorithm for multiplying a polynomial by another polynomial of the same or higher degree,
an algorithm for multiplying a polynomial by another polynomial of the same or lower degree,
an algorithm for dividing a polynomial by another polynomial of the same or lower degree,
an algorithm for dividing a polynomial by another polynomial of the same or higher degree,
Leading coefficient
the numbers written in front of the variable with the smallest exponent.
the numbers written in front of the variable with the largest exponent.
the variable written in behind of the number with the largest exponent.
the variable written in behind of the number with the smallest. exponent.
What is completing the square?
a technique for converting a quadratic polynomial of the form to the form for some values of h and k.
a technique for converting a cubic polynomial of the form to the form for some values of h and k.
a technique for converting a quartic polynomial of the form to the form for some values of h and k.
a technique for converting a quintic polynomial of the form to the form for some values of h and k.
What is a centroid?
geometric right-most point of a plane figure is the arithmetic mean position of all the points in the figure.
geometric center of a plane figure is the arithmetic mean position of all the points in the figure.
geometric left-most point of a plane figure is the arithmetic mean position of all the points in the figure.
geometric outside of a plane figure is the arithmetic mean position of all the points in the figure.
What is a depressed polynomial?
the quotient of dividing a polynomial by 0
the quotient of dividing a polynomial by one of its binomial factors.
the product of multiplying a polynomial by one of its binomial factors.
the quotient of dividing a polynomial by itself.
What is difference of squares?
a squared number subtracted from another squared number
a squared number multiplied by another squared number
a squared number added to another squared number
a squared number divided by another squared number
What is sum of squares?
a squared number subtracted from another squared number
a squared number multiplied by another squared number
a squared number added to another squared number
a squared number divided by another squared number
What is factoring by grouping?
division of a polynomial by synthetic division
multiply terms by common factors after factoring
division of a polynomial by long division
group terms with common factors before factoring
What is end behavior?
behavior of the graph of f(x) as a"" approaches positive infinity or negative infinity.
behavior of the graph of f(x) as "y" approaches positive infinity or negative infinity."
behavior of the graph of f(x) as "x" approaches positive infinity or negative infinity.
behavior of the graph of f(x) as "b" approaches positive infinity or negative infinity.
What is a cone?
a solid or hollow object which tapers from a circular or roughly circular base to a point.
hollow object that tapers from a rectangular base to a point
hollow object that tapers from a square base to a point.
hollow object that tapers from a triangle base to a point.
What is a cylinder?
a solid geometric figure with straight perpendicular sides and a square cross section.
a solid geometric figure with straight parallel sides and a square cross section.
a solid geometric figure with straight perpendicular sides and a circular or oval cross section.
a solid geometric figure with straight parallel sides and a circular or oval cross section.
What is intervals of Increase?
the domain of a function where its value is getting larger
the domain of a function where its value is getting smaller
the range of a function where its value is getting larger
the range of a function where its value is getting smaller
What are intervals of Decrease?
the domain of a function where its value is getting larger
the domain of a function where its value is getting smaller
the range of a function where its value is getting larger
the range of a function where its value is getting smaller
What is standard form of a polynomial?
terms are in vertex form
terms are factored
terms are ordered from lowest exponent to biggest exponent.
terms are ordered from biggest exponent to lowest exponent.
What is factored form?
polynomial in the form a 3 - b 3
y = a(x – h)2 + k, where (h, k) is the vertex.
written as a product of its factors.
polynomial in the form a 3 + b 3
What is an edge?
particular type of line segment joining two vertices
The common endpoint of two or more rays or line segments
flat surfaces in a geometric solid
shape we get when cutting straight through an object.
What are vertices?
particular type of line segment joining two vertices
The common endpoint of two or more rays or line segments
flat surfaces in a geometric solid
shape we get when cutting straight through an object.
What are faces?
particular type of line segment joining two vertices
The common endpoint of two or more rays or line segments
flat surfaces in a geometric solid
shape we get when cutting straight through an object.
What is a cross section?
particular type of line segment joining two vertices
The common endpoint of two or more rays or line segments
flat surfaces in a geometric solid
shape we get when cutting straight through an object.
What is Solids of Revolution?
solid figure obtained by rotating a plane curve around some straight line that lies on the same plane
a line around which something is revolved
area of all the sides of the object, excluding the area of its base and top
measure of the total area that the surface of the object occupies
What is Axis of Revolution?
solid figure obtained by rotating a plane curve around some straight line that lies on the same plane
a line around which something is revolved
area of all the sides of the object, excluding the area of its base and top
measure of the total area that the surface of the object occupies
What is the Lateral Area?
solid figure obtained by rotating a plane curve around some straight line that lies on the same plane
a line around which something is revolved
area of all the sides of the object, excluding the area of its base and top
measure of the total area that the surface of the object occupies
What is the Surface Area?
solid figure obtained by rotating a plane curve around some straight line that lies on the same plane
a line around which something is revolved
area of all the sides of the object, excluding the area of its base and top
measure of the total area that the surface of the object occupies
What is the meaning of Circumscribe?
draw (a figure) around another, touching it at points but not cutting it
draw (a figure) within another so that their boundaries touch but do not intersect.
touching, but not intersecting, a curve or curved surface.
The tangent only touches the curve at one point.
What is the meaning of Inscribe?
draw (a figure) around another, touching it at points but not cutting it
draw (a figure) within another so that their boundaries touch but do not intersect.
touching, but not intersecting, a curve or curved surface.
The tangent only touches the curve at one point.
What is the meaning of tangent?
draw (a figure) around another, touching it at points but not cutting it
draw (a figure) within another so that their boundaries touch but do not intersect.
touching, but not intersecting, a curve or curved surface.
The tangent only touches the curve at one point.
What is the meaning of point of tangency?
draw (a figure) around another, touching it at points but not cutting it
draw (a figure) within another so that their boundaries touch but do not intersect.
touching, but not intersecting, a curve or curved surface.
The tangent only touches the curve at one point.
What is a central angle of a circle?
angle that forms when two radii meet at the center of a circle.
angle formed by two chords in a circle which have a common endpoint.
segment that intersects a circle twice.
angle made by two intersecting tangent lines to a circle.
What is a secant of a circle?
angle that forms when two radii meet at the center of a circle.
angle formed by two chords in a circle which have a common endpoint.
segment that intersects a circle twice.
angle made by two intersecting tangent lines to a circle.
What is a circumscribed angle of a circle?
angle that forms when two radii meet at the center of a circle.
angle formed by two chords in a circle which have a common endpoint.
segment that intersects a circle twice.
angle made by two intersecting tangent lines to a circle.
What is an inscribed angle of a circle?
angle that forms when two radii meet at the center of a circle.
angle formed by two chords in a circle which have a common endpoint.
segment that intersects a circle twice.
angle made by two intersecting tangent lines to a circle.
What is a minor arc of a circle?
twice the measure of the radius
circles with a common center.
arc of a circle having measure greater than or equal to ( radians)
arc of a circle having measure less than or equal to ( radians)
What is a major arc of a circle?
twice the measure of the radius
circles with a common center.
arc of a circle having measure greater than or equal to ( radians)
arc of a circle having measure less than or equal to ( radians)
What are concentric circles
twice the measure of the radius
circles with a common center.
arc of a circle having measure greater than or equal to ( radians)
arc of a circle having measure less than or equal to ( radians)
What is the diameter of a circle?
any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.
circles with a common center.
arc of a circle having measure greater than or equal to ( radians)
arc of a circle having measure less than or equal to ( radians)
What is a rational equation?
contains a variable within a radical.
an equation that contains one or more rational expressions.
solution of an equation derived from an original equation that is not a solution of the original equation.
fraction whose numerator and denominator are polynomials.
What is a radical equation?
contains a variable within a radical.
an equation that contains one or more rational expressions.
solution of an equation derived from an original equation that is not a solution of the original equation.
fraction whose numerator and denominator are polynomials.
What is an extraneous solution?
contains a variable within a radical.
an equation that contains one or more rational expressions.
solution of an equation derived from an original equation that is not a solution of the original equation.
fraction whose numerator and denominator are polynomials.
What is a rational expression?
contains a variable within a radical.
an equation that contains one or more rational expressions.
solution of an equation derived from an original equation that is not a solution of the original equation.
fraction whose numerator and denominator are polynomials.
What is a Common Denominator?
greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.
a shared multiple of the denominators of several fractions.
smallest common multiple of two integers a and b
a fraction in which the numerator is greater than the denominator,
What is a LCM?
greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.
a shared multiple of the denominators of several fractions.
smallest common multiple of two integers a and b
a fraction in which the numerator is greater than the denominator,
What is a GCF?
greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.
a shared multiple of the denominators of several fractions.
smallest common multiple of two integers a and b
a fraction in which the numerator is greater than the denominator,
What is an improper fraction?
greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.
a shared multiple of the denominators of several fractions.
smallest common multiple of two integers a and b
a fraction in which the numerator is greater than the denominator,
What is a period in a trigonometric function?
half the distance from the highest point of the curve to the bottom point of the curve:
number of cycles it completes in a given interval
interval between two “matching” points on the graph
occurs when the polynomial in the numerator is a higher degree than the polynomial in the denominator.
What is a slant asymptote?
half the distance from the highest point of the curve to the bottom point of the curve:
number of cycles it completes in a given interval
interval between two “matching” points on the graph
occurs when the polynomial in the numerator is a higher degree than the polynomial in the denominator.
What is a frequency of a trigonometric function?
half the distance from the highest point of the curve to the bottom point of the curve:
number of cycles it completes in a given interval
interval between two “matching” points on the graph
occurs when the polynomial in the numerator is a higher degree than the polynomial in the denominator.
What is an amplitude of a trigonometric function?
half the distance from the highest point of the curve to the bottom point of the curve:
number of cycles it completes in a given interval
interval between two “matching” points on the graph
occurs when the polynomial in the numerator is a higher degree than the polynomial in the denominator.
What is a trigonometric function?
ratio of the length of the opposite leg to the hypotenuse.
a function whose rule is given by a trigonometric ratio.
ratio of the length of adjacent leg to the hypotenuse
ratio of the length of opposite leg to the adjacent.
What is sine in a trigonometric function?
ratio of the length of the opposite leg to the hypotenuse.
a function whose rule is given by a trigonometric ratio.
ratio of the length of adjacent leg to the hypotenuse
ratio of the length of opposite leg to the adjacent.
What is cosine in a trigonometric function?
ratio of the length of the opposite leg to the hypotenuse.
a function whose rule is given by a trigonometric ratio.
ratio of the length of adjacent leg to the hypotenuse
ratio of the length of opposite leg to the adjacent.
What is tangent in a trigonometric function?
ratio of the length of the opposite leg to the hypotenuse.
a function whose rule is given by a trigonometric ratio.
ratio of the length of adjacent leg to the hypotenuse
ratio of the length of opposite leg to the adjacent.
What are 45 45 90 right triangles?
acute right triangle
obtuse right triangle
isosceles right triangle
scalene right triangle
What is a 30 60 90 right triangle
A triangle with the degrees: 45, 46, 89
A triangle with the degrees: 30,50, 100
A triangle with the degrees: 45, 45, 90
A triangle with the degrees: 30, 60, 90
What is a coterminal angle?
angles who share the same initial side and terminal sides
smallest angle that you can make from the terminal side of an angle with the x-axis.
measured in distance units per unit time because straightening out the arc traveled by the object along the circle results in a line of the same length, so that the usual definition of speed as distance over time can be used.
rate at which the central angle swept out by the object changes as the object moves around the circle, and it is thus measured in radians per unit time.
What is a reference angle?
angles who share the same initial side and terminal sides
smallest angle that you can make from the terminal side of an angle with the x-axis.
measured in distance units per unit time because straightening out the arc traveled by the object along the circle results in a line of the same length, so that the usual definition of speed as distance over time can be used.
rate at which the central angle swept out by the object changes as the object moves around the circle, and it is thus measured in radians per unit time.
What is linear speed in trigonometry?
angles who share the same initial side and terminal sides
smallest angle that you can make from the terminal side of an angle with the x-axis.
measured in distance units per unit time because straightening out the arc traveled by the object along the circle results in a line of the same length, so that the usual definition of speed as distance over time can be used.
rate at which the central angle swept out by the object changes as the object moves around the circle, and it is thus measured in radians per unit time.
What is angular speed in trigonometry?
angles who share the same initial side and terminal sides
smallest angle that you can make from the terminal side of an angle with the x-axis.
measured in distance units per unit time because straightening out the arc traveled by the object along the circle results in a line of the same length, so that the usual definition of speed as distance over time can be used.
rate at which the central angle swept out by the object changes as the object moves around the circle, and it is thus measured in radians per unit time.
What is a unit circle?
a circle of unit radius—that is, a radius of 2π.
a circle of unit radius—that is, a radius of 2.
a circle of unit radius—that is, a radius of 1.
a circle of unit radius—that is, a radius of π.
When is an angle in standard position?
the ray that is not the initial side
when its vertex is at the origin and one ray is on the positive x-axis.
the ray on the x-axis.
the ray on the y-axis.
What is the initial side of an angle?
the ray that is not the initial side
when its vertex is at the origin and one ray is on the positive x-axis.
the ray on the x-axis.
the ray on the y-axis.
What is a control group?
similar items or events which is of interest for some question or experiment.
A neutral treatment that has no "real" effect on the dependent variable
using artificially generate data in order to test out a hypothesis or statistical method.
the group in an experiment or study that does not receive treatment by the researchers and is then used as a benchmark to measure how the other tested subjects do.
What is a placebo?
similar items or events which is of interest for some question or experiment.
A neutral treatment that has no "real" effect on the dependent variable
using artificially generate data in order to test out a hypothesis or statistical method.
the group in an experiment or study that does not receive treatment by the researchers and is then used as a benchmark to measure how the other tested subjects do.
What is a simulation in statistics?
similar items or events which is of interest for some question or experiment.
A neutral treatment that has no "real" effect on the dependent variable
using artificially generate data in order to test out a hypothesis or statistical method.
the group in an experiment or study that does not receive treatment by the researchers and is then used as a benchmark to measure how the other tested subjects do.
What is a population in statistics?
similar items or events which is of interest for some question or experiment.
A neutral treatment that has no "real" effect on the dependent variable
using artificially generate data in order to test out a hypothesis or statistical method.
the group in an experiment or study that does not receive treatment by the researchers and is then used as a benchmark to measure how the other tested subjects do.
What is standard deviation?
statistic expressing the amount of random sampling error in the results of a survey.
method of sampling from a population which can be partitioned into subpopulations.
measure of the amount of variation or dispersion of a set of values
the standard score is the number of standard deviations by which the value of a raw score is above or below the mean value of what is being observed or measured.
What is z-score?
statistic expressing the amount of random sampling error in the results of a survey.
method of sampling from a population which can be partitioned into subpopulations.
measure of the amount of variation or dispersion of a set of values
the number of standard deviations by which the value of a raw score is above or below the mean value of what is being observed or measured.
What is margin of error?
statistic expressing the amount of random sampling error in the results of a survey.
method of sampling from a population which can be partitioned into subpopulations.
measure of the amount of variation or dispersion of a set of values
the number of standard deviations by which the value of a raw score is above or below the mean value of what is being observed or measured.
