Vocab

Question 1

Increasing Interval

Answer 1

f(x) increases there is an increase in the x value

Question 2

Decreasing Interval

Answer 2

f(x) decreased in the x value

Question 3

Turning Point

Answer 3

function changes from increasing to decreasing or decreasing to increasing

Question 4

Zero

Answer 4

value of x for which f(x) equals 0 (y=0) (x,0)

Question 5

Maximum or Absolute Max

Answer 5

highest point

Question 6

Minimum or Absolute Min

Answer 6

lowest point

Question 7

Average Rate of Change

Answer 7

the average rate at which one quantity is changing with respect to something else changing (ex. y2-y1/x2-x1)

Question 8

Relative Maximum

Answer 8

high point(s) second highest point

Question 9

Relative Minimum

Answer 9

low point(s) second lowest point

Question 10

Transformation

Answer 10

a change in position, size, or shape

Question 11

Parameters

Answer 11

a constant in a function rule that can be changed (such as a or b in y =ax+b)

Question 12

Even Function

Answer 12

f(-x)=f(x) its reflection across the y-axis are identical

Question 13

Odd Function

Answer 13

f(-x)=f(x) the graph is the same when it is reflected across the y-axis as it is when reflected across the x-axis

Question 14

Horizontal Stretch

Answer 14

g(x) if the constant is between 0 and 1 it will be a horizontal stretch

Question 15

Horizontal Compression

Answer 15

if the constant is greater than 1 we will get a horizontal compression (ex. 1/3 would be 3)

Question 16

Vertical Stretch

Answer 16

if the constant is greater than 1 we will get a stretch

Question 17

Vertical Compression

Answer 17

if the constant is between 0 and 1 it will be a compression

Question 18

End Behavior

Answer 18

the trends in the y-value of a function as the x-values increase or decrease without bound

Question 19

Even Function

Answer 19

a function in which f(-x) =f(x) for all x in the domain of the function

Question 20

Function

Answer 20

A relation in which every domain value is paired with exactly one range value

Question 21

Parent Function

Answer 21

an equation in the simplest form of a family of functions

Question 22

Absolute Function

Answer 22

f(x) would be equal to the absolute value { } f(x)=a lx-hl =k

Question 23

Piece-wise-defined Function

Answer 23

a piecewise function is a function whose domain is partitioned into several intervals on which the function may be defined differently. Piecewise definition is actually a way of specifying the function, rather than a characteristic of the resulting function itself

Question 24

Quadratic Function

Answer 24

In mathematics, a quadratic function of a single variable is a function of the form where ⁠⁠ is its variable, and ⁠⁠, ⁠⁠, and ⁠⁠ are coefficients. The expression ⁠⁠, especially when treated as an object in itself rather than as a function, is a quadratic polynomial, a polynomial of degree two.

Question 25

Exponential Function

Answer 25

The exponential function is a mathematical function denoted by or. Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras.

Question 26

Vertex

Answer 26

(h,k)

Question 27

AOS (Axis of Symmetry)

Answer 27

The axis of symmetry is an imaginary straight line that divides a shape into two identical parts, thereby creating one part as the mirror image of the other part.

Question 28

Linear Function

Answer 28

In mathematics, the term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.