Quiz about AP Pre-Cal Unit 1 Notes & Vocab Test

Question 1

a mathematical relation that maps a set of input values to a set of output values such that each inout value is mapped to exactly one output value (every x only has 1 y)

Accepted Answer

function

Answer

sentence

Answer

expression

Answer

algebra

Question 2

the set of input values of a function

Accepted Answer

domain

Answer

range

Answer

x-axis

Answer

y-axis

Question 3

the set of output values of a function

Accepted Answer

range

Answer

domain

Answer

x-axis

Answer

y-axis

Question 4

the variable that represents the input values, usually "x"

Accepted Answer

independent variable

Answer

dependent variable

Answer

x-intercept

Answer

y-intercept

Question 5

te variable that represents the output values, usually "y"

Accepted Answer

dependent variable

Answer

x-intercept

Answer

independent variable

Answer

y-intercept

Question 6

A function is _________ over an interval of its domain if, as the input values increase, the output values always increase (when x gets bigger,y gets bigger)

Accepted Answer

Increasing

Answer

decreasing

Answer

positive

Answer

negative

Question 7

A function is _________ over an interval of its domain if, as the input values increase, the output values always decrease (when x gets bigger,y gets smaller)

Accepted Answer

Decreasing

Answer

increasing

Answer

positive

Answer

negative

Question 8

The graph of a function is ______ on intervals in which the average rate of change is increasing

Accepted Answer

Concave Up

Answer

Concave Down

Answer

steep

Answer

flat

Question 9

The graph of a function is ______ on intervals in which the average rate of change is decreasing

Accepted Answer

Concave Down

Answer

Concave Up

Answer

steep

Answer

flat

Question 10

Linear functions have a _____ rate of change.

Accepted Answer

Constant

Answer

increasing

Answer

decreasing

Answer

zero

Question 11

Lines have _______ concavity.

Accepted Answer

No

Answer

positive

Answer

negative

Answer

undefined

Question 12

Also called roots, zeros, and solutions. The point where a graph intersects the x-axis.*y-value is 0

Accepted Answer

x-intercept

Answer

y-intercept

Answer

point of inflection

Answer

Extrema

Question 13

Th point where a graph intersects the y-axis. *x-value is 0

Accepted Answer

y-intercept

Answer

x-intercept

Answer

point of inflection

Answer

Extrema

Question 14

The average rate of change of a function.

Accepted Answer

1st Difference

Answer

2nd Difference

Answer

Linear

Answer

Quadratic

Question 15

The average rate of change of the rate of change of a function.

Accepted Answer

2nd Difference

Answer

1st Difference

Answer

Linear

Answer

Quadratic

Question 16

Have a constant 1st Difference

Accepted Answer

Linear Functions

Answer

Quadratic Functions

Answer

Slopes

Answer

Polynomial Functions

Question 17

Have a constant 2nd Difference

Accepted Answer

Quadratic Functions

Answer

Linear Functions

Answer

Polynomial Functions

Answer

Slopes

Question 18

f(x) + c represents a _______ Ex. f(x)= $$x^2+4$$

Accepted Answer

Vertical Shift

Answer

Horizontal Shift

Answer

Horizontal Dilation

Answer

Vertical Dilation

Question 19

f(x + c) represents a _______ Ex. f(x)= $$\left(x+4\right)^2$$

Accepted Answer

Horizontal Shift

Answer

Vertical Shift

Answer

Horizontal Dilation

Answer

Vertical Dilation

Question 20

c*f(x) represents a _______ Ex. f(x)= $$3x^2$$

Accepted Answer

Vertical Dilation

Answer

Vertical Shift

Answer

Horizontal Dilation

Answer

Horizontal Shift

Question 21

f(c*x) represents a ______ Ex. f(x)= $$\left(3x\right)^2$$

Accepted Answer

Horizontal Dilation

Answer

Vertical Shift

Answer

Horizontal Shift

Answer

Vertical Dilation

Question 22

A reflection across the ____ is represented by -f(x)

Accepted Answer

x-axis

Answer

y-axis

Answer

Line y=x

Answer

origin

Question 23

A reflection across the ____ is represented by f(-x)

Accepted Answer

y-axis

Answer

Line y=x

Answer

origin

Answer

x-axis

Question 24

a point where the concavity of the graph changes

Accepted Answer

Point of Inflection

Answer

extrema

Answer

x-intercept

Answer

y-intercept

Question 25

The slope is the _______ at a point of inflection. This is where the rate of change is the  ______.

Accepted Answer

Steepest/Fastest

Answer

Steepest/Slowest

Answer

Flattest/Fastest

Answer

Flattest/Slowest

Question 26

The x-intercepts are called _____ because the corresponding output value is 0.

Accepted Answer

Zeros

Answer

points of inflections

Answer

maximums

Answer

minimums

Question 27

The ratio of the change in output values to the change in input values

Accepted Answer

Average Rate of Change

Answer

Concavity

Answer

Multiplicity

Answer

Calculus

Question 28

Quantifies the rate at which output values would change were the input values changing at that point. Can be approximated by the AROC of the function over small intervals containing the point.

Accepted Answer

Instantaneous Rate of Change

Answer

Calculus

Answer

Multiplicity

Answer

Concavity

Question 29

If the input and output values, both increase or both decrease then the ___________.

Accepted Answer

Rate of Change is Positive

Answer

Rate of Change is Negative

Answer

Rate of Change is Zero

Answer

Rate of Change is Undefined

Question 30

If one of the values increases and the other decreases, then the _________.

Accepted Answer

Rate of Change is Negative

Answer

Rate of Change is Zero

Answer

Rate of Change is Positive

Answer

Rate of Change is Undefined

Question 31

Over any length input-value interval, the average rate of change of a quadratic function can be given by a __________.

Accepted Answer

Linear Function

Answer

Parabola

Answer

Zero

Answer

value

Question 32

The average rate of change over the closed interval [a,b], is the slope of the __________ from point (a, f(a)) to (b,f(b)).

Accepted Answer

Secant Line

Answer

Tangent Line

Answer

Output value at a

Answer

Output value at b

Question 33

a function represented by the form $$p\left(x\right)=a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+\cdot\cdot\cdot+ax^2+ax+a_0$$ , where a is a real number and n is nonnegative integer.

Accepted Answer

Polynomial Function

Answer

Linear Function

Answer

Quadratic Function

Answer

Hot Mess

Question 34

The maximums and minimums of a funtion

Accepted Answer

Extrema

Answer

Bigs

Answer

Littles

Answer

Zeros

Question 35

a point on the graph of a function where no other nearby points have a lesser y-coordinate

Accepted Answer

Relative Minimum

Answer

Relative Maximum

Answer

x-intercept

Answer

y-intercept

Question 36

a point on the graph of a function where no other nearby points have a greater y-coordinate

Accepted Answer

Relative Maximum

Answer

Relative Minimum

Answer

x-intercept

Answer

y-intercept

Question 37

The point on the graph with the greatest y-value

Accepted Answer

Absolute Maximum

Answer

Absolute Minimum

Answer

x-intercept

Answer

y-intercept

Question 38

The point on the graph with the least y-value

Accepted Answer

Absolute Minimum

Answer

x-intercept

Answer

Absolute Maximum

Answer

y-intercept

Question 39

Another word for ABSOLUTE max/min

Accepted Answer

Global

Answer

Local

Answer

Epic

Answer

GOAT

Question 40

Another word for RELATIVE max/min

Accepted Answer

Local

Answer

Global

Answer

Epic

Answer

GOAT

Question 41

all global max/min are also local max/min

Accepted Answer

True

Answer

False

Answer

Maybe

Answer

Not today

Question 42

Between every two real zeros of a polynomial function there must be at least one local max or min

Accepted Answer

True

Answer

False

Answer

Maybe

Answer

Not today

Question 43

Polynomial functions of ____ degree will have either a global max or a global min.

Accepted Answer

Even

Answer

Large

Answer

Small

Answer

Odd

Question 44

Polynomial functions of ____ degree can have no global extrema

Accepted Answer

Odd

Answer

Large

Answer

Small

Answer

Even

Question 45

If "a" is a zero of a ploynomial function, then _________ is a linear factor of the function.

Accepted Answer

(x-a)

Answer

x

Answer

a

Answer

x/a

Question 46

if (x-a) is a factor of a polynomial function, then "a" is a _______ of the function

Accepted Answer

zero

Answer

number

Answer

element

Answer

y-intercept

Question 47

The number of times a linear factor is repeated for a polynomial function.

Accepted Answer

Multiplicity

Answer

Concavity

Answer

Binomality

Answer

Pattern

Question 48

If a factor of a polynomial has even multiplicity, the graph of the polynomial will ____ the x-axis at the corresponding x-intercept.

Accepted Answer

Touch

Answer

Cross

Answer

be

Answer

never touch

Question 49

If a factor of a polynomial has odd multiplicity, the graph of the polynomial will ____ the x-axis at the corresponding x-intercept.

Accepted Answer

Cross

Answer

Touch

Answer

be

Answer

never touch

Question 50

A polynomial of degree "n" will have exactly ___ zeros.

Accepted Answer

n

Answer

x

Answer

n-1

Answer

n+1

Question 51

If "a+bi" is a zero of a polynomial, then _____, is also a zero of the polynomial.

Accepted Answer

a-bi

Answer

x-a

Answer

x-bi

Answer

a/bi

Question 52

A polynomial function can one real zero and one  imaginary zero

Accepted Answer

Never

Answer

Sometimes

Answer

Always

Answer

only on Tuesdays

Question 53

If "a" is a real zero of a polynomial function and has even multiplicity, the signs of the output values are the same for input values near "a".

Accepted Answer

Same

Answer

Different

Answer

positive

Answer

negative

Question 54

The _____ of a polynomial can be found by examining the successive differences of the output values over equal-interval input values.

Accepted Answer

Degree

Answer

Name

Answer

Parent

Answer

Leading Coefficient

Question 55

A polynomial of degree n will have constant successive _____ differences.

Accepted Answer

nth

Answer

1st

Answer

2nd

Answer

x

Question 56

an ___________ function is graphically symmetric over the y-axis

Accepted Answer

Even

Answer

Odd

Answer

Positive

Answer

Negative

Question 57

An Even function has the property _______

Accepted Answer

f(x)=f(-x)

Answer

f(x)=x

Answer

f(x)=-x

Answer

f(-x)=-f(x)

Question 58

______ represents ordered pairs of an Even function.

Accepted Answer

(x, y) -> (-x, y)

Answer

(x, x) -> (y, y)

Answer

(x, y) -> (-x, -y)

Answer

(x, y) -> (0, 0)

Question 59

An Odd function has the property _______

Accepted Answer

f(-x)=-f(x)

Answer

f(x)=x

Answer

f(x)=f(-x)

Answer

f(x)=-x

Question 60

an ___________ function is graphically symmetric about the origin

Accepted Answer

Odd

Answer

Positive

Answer

Even

Answer

Negative

Question 61

______ represents ordered pairs of an Odd function.

Accepted Answer

(x, y) -> (-x, -y)

Answer

(x, x) -> (y, y)

Answer

(x, y) -> (-x, y)

Answer

(x, y) -> (0, 0)

Question 62

Describes what happens to a polynomial function as the input values increase or decrease without bound

Accepted Answer

End Behavior

Answer

Multiplicity

Answer

Concavity

Answer

Algebra

Question 63

The degree and sign of the leading term of a polynomial function determine the end behavior of the polynomial function.

Accepted Answer

End Behavior

Answer

Multiplicity

Answer

Concavity

Answer

Algebra

Question 64

the __________ utilizes the entries in a single row of Pascal's Triangle to more easily expand expressions of the form (a+b)n

Accepted Answer

Binomial Theorem

Answer

Remainder Theorem

Answer

Factor Theorem

Answer

Fundamental Theorem of Algebra

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