A function has an (a)   if there is a point that has a y-coordinate that is less than the y-coordinates of every other point on the graph.

The (a)   of a number is its distance from zero on the number line.

The (a)   of a function is the expression inside the parentheses.

The (a)   of a function is the ratio of the independent variable to the dependent variable over a specific interval.

a sample that does not accurately represent all of a population.

(a)  

The (a)   allows you to calculate an exact value for a logarithm by rewriting it in terms of a different base. It is especially helpful when using a calculator.

A set is (a)   if the operation is performed on any of the numbers in the set and the result is a number that is also in the same set.

A (a)   is a square matrix that consists of each coefficient of each equation in the system of equations, in order, when they are written in standard form.

A (a)   is a matrix in one column that represents each of the constants in the system of equations.

The set of ____________ is the set of all numbers written in the form a + bi, where a and b are real numbers.

The set of __________ consists of the set of imaginary numbers and the set of real numbers.

(a)  

(a)   is the process of substituting one function for the variable in another function.

The (a)   of a parabola describes the orientation of the curvature of the parabola.

The (a)   of a matrix are its number of rows and its number of columns.

The __________ of a parabola is a line such that all points on the parabola are equidistant from the focus and the __________.

(a)  

(a)   are solutions that result from the process of solving an equation; but are not valid solutions to the equation.

(a)   are the set of all relative maximums, relative minimums, absolute maximums, and absolute minimums for a graph.

A quadratic function written in (a)   is in the form $$f\left(x\right)=a\left(x-r_1\right)\left(x-r_2\right)$$ , where a = 0.

The _______ of a parabola is a point such that all points on the parabola are equidistant from the ______ and the directix.

(a)  

A (a)   is a relation such that for each element of the domain there exists exactly one element in the range.

(a)   is a way of representing functions algebraically.

The function f(x) is read as “f of x” and indicates that x is the input and f(x) is the output.

The (a)   states that any polynomial equation of degree n must have exactly n complex roots or solutions; also, every polynomial function of degree n must have exactly n complex zeros. However, any root or zero may be a multiple root or zero.

The (a)   centered at the origin is an equation of the form $$Ax^2+Dy=0$$ or $$By^2+Cx=0$$

The (a)   is a test to determine if a function is one to one. To use the test, imagine drawing every possible horizontal line on the coordinate plane. If no horizontal line intersects the graph of a function at more than one point, then the function is one to one.

The (a)   , I, is a square matrix whose elements are 0s and 1s. The 1s are arranged diagonally from upper left to lower right as shown.

The set of (a)   is the set of all numbers written in the form a + bi, where a and b are real numbers and b is not equal to 0.

In a complex number of the form a + bi, the term bi is called the

(a)   .

The (a)   is a function that results

from exchanging the independent and dependent variables.

A function f(x) with coordinates (x, f(x))

will have an inverse with coordinates (f(x), x).

An (a)   is a function whose inverse exists.

It is one-to-one and passes the Horizontal Line Test,

so its inverse will also be a function.

An (a)   is one in which the output

from one iteration is used as the input for the

next iteration.

The (a)   of a positive number is the

exponent to which the base must be raised to

result in that number.

A (a)   is the line that the graph is

reflected across. A horizontal line of reflection

affects the y-coordinates. A vertical line of

reflection affects the x-coordinates.

An equation in the form of I x – a I =c

(a)  

An inequality in the form I x + a I < c or I x + a I > c

(a)  

(a)   is a branch of mathematics

that determines the maximum and minimum

value of linear expressions on a region produced

by a system of linear inequalities.

A (a)   is a set of points that satisfy one or more conditions.

The logarithm of a number, with the base equal to the same number,

is always equal to 1.

$$\log_b\left(b\right)=1$$

(a)  

An equation involving a logarithm.

$$f\left(x\right)=3\log_{ }x$$

(a)  

A (a)   is an array of numbers

composed of rows and columns. A matrix is

usually designated by a capital letter.

In (a)   , an element $$a_{pq}$$ of the product matrix is determined by multiplying each element in row p of the first matrix by an element from column q in the second matrix and calculating the sum of the products.

Each number in the matrix is knows as a (a)   .

Matrices can be used to solve a system of equations.

A system can be written as a (a)   ,

or an equation with matrices.

The (a)   (or just inverse) of $$A$$

is designated as $$A^{-1}$$ , and is a matrix such that $$A\times A^{-1}=I$$ or the identity matrix.

(a)   is how many times a particular number is a zero for a given function.

The (a)   is an irrational number equal to approximately 2.71828.

A ____________ is a logarithm with a base of e. ____________ are usually written as ln.

(a)  

An (a)   is a function for which f(-x) = -f(x) for all values of x in the domain.

A function is a (a)   if both the function and its inverse are functions.

A (a)   is a function that can be written in the form

$$p\left(x\right)=\cdots x^n+\cdots x^{n-1}+\ ...\ +\cdots x^2+\cdots x+\cdots$$ ,

where the coefficients, represented by each $$\cdots$$ , are complex numbers and the exponents are nonnegative integers.

(a)   is an algorithm for dividing one polynomial by another of equal or lesser degree.

In this material, a (a)   is a function

of the form $$P\left(x\right)=ax^n$$

where n is a non-negative integer.

The (a)   states that the logarithm of a product is equal to the sum of the logarithms of the factors.

$$\log_b\left(x\right)^n=n\ \log_bx$$

A (a)   is a number of the form bi, where b is not equal to 0.

The (a)   $$x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$$ , can be used to calculate the solutions to any quadratic equation of the form $$ax^2+bx+c$$ , where a, b, and c represent real numbers and $$a\ne0$$ .

The (a)   states that the logarithm of a quotient is equal to the difference of the logarithms of the dividend and the divisor.

$$\log_b\ \frac{x}{y}=\log_bx-\log_by$$

A (a)   is a function that contains one or more radical expressions.

A (a)   is an equation that contains one or more rational expressions.

A (a)   is any function that can be written as the ratio of two polynomial functions.

A rational function can be written in the form

$$f\left(x\right)=\frac{P\left(x\right)}{Q\left(x\right)}$$ where P(x) and Q(x) are polynomial functions, and Q(x) $$\ne$$ 0.

In a complex number of the form a + bi, the term a is called the (a)   .

A ____________ of a graph is the mirror image of the graph about a line of _______________.

(a)  

A (a)   is a function that models the relationship between two variables in a scatter plot.

A (a)   is the mapping between a set of input values called the domain and a set of output values called the range.

A (a)   is the highest point in a particular section of a graph.

A (a)   is the lowest point in a particular section of a graph.

The (a)   states that the remainder when dividing a polynomial by (x - r) is the value of the polynomial at r.

To ________ ___ ______ of a function means to define a new domain for the function that is a subset of the original domain.

(a)  

A (a)   object is exactly or approximately similar to a part of itself.

The (a)   is a periodic function. It takes angle measures (θ values) as inputs and then outputs real number values which correspond to the coordinates of points on the unit circle.

The (a)   is the intersection of the solutions to each inequality. Every point in the intersection satisfies all inequalities in the system.

A (a)   is a matrix that has an equal number of rows and columns.

The (a)   is the inverse of the power function $$f\left(x\right)=x^2$$ when the domain is restricted to $$x\ge0$$

Example: $$g\left(x\right)\ =\ \sqrt[]{x}$$

The (a)   centered at the origin is an equation of the form $$x^2=4py$$ or $$y^2=4px$$ , where p represents the distance from the vertex to the focus.

If a graph is (a)   ,

the line divides the graph into two identical parts.

A function is (a)   if each point on the graph has a point the same distance from the central point, but in the opposite direction.

(a)   is a method for dividing a polynomial by a linear factor of the form (x - r).