Chapter 3

Question 1

absolute value function

Answer 1

A function that contains an absolute value

expression (graph shaped like a “v”)

Question 2

constant function

Answer 2

A linear equation written in the form y = 0x + b or y = b

Question 3

continuous domain

Answer 3

A set of input values that consist of all numbers in

an interval

Question 4

dependent variable

Answer 4

The variable that represents output values of a

function

Question 5

discrete domain

Answer 5

A set of input values that consists of only certain

numbers in an interval

Question 6

domain

Answer 6

The set of all possible input values of a function

Question 7

family of functions

Answer 7

A group of functions with similar characteristics

Question 8

function

Answer 8

A relation that pairs each input with exactly one

output

Question 9

function notation

Answer 9

Another name for y denoted as f (x) and read as

“the value of f at x” or “f of x”

Question 10

horizontal shrink

Answer 10

A transformation that causes the graph of a
function to shrink toward the y-axis when all the
x-coordinates are multiplied
by a factor a, where a > 1

Question 11

horizontal stretch

Answer 11

A transformation that causes the graph of a
function to stretch away from the y-axis when all
the x-coordinates are multiplied by a factor a,
where a

Question 12

independent variable

Answer 12

The variable that represents the input values of a

function

Question 13

linear equation in two

variables

Answer 13

An equation that can be written in the form

y = mx + b , where m and b are constants

Question 14

linear function

Answer 14

A function whose graph is a nonvertical line

Question 15

nonlinear function

Answer 15

A function that does not have a constant rate of

change and whose graph is not a line

Question 16

parent function

Answer 16

The most basic function in a family of functions
For linear functions, the parent function is
f (x) = x

Question 17

range of a function

Answer 17

The set of all possible output values of a function

Question 18

reflection

Answer 18

A transformation that flips a graph over a line

called the line of reflection

Question 19

relation

Answer 19

A pairing of inputs with outputs

Question 20

rise

Answer 20

The change in y between any two points on a line

Question 21

run

Answer 21

The change in x between any two points on a line

Question 22

slope

Answer 22

The rate of change between any two points on a line

Question 23

slope-intercept form

Answer 23

A linear equation written in the form y = mx + b

Question 24

solution of a linear equation

in two variables

Answer 24

An ordered pair ( , ) x y that makes an equation true

Question 25

standard form of a linear

equation

Answer 25

A linear equation written in the form
Ax + By = C, where A, B, and C are real
numbers and A and B are not both zero

Question 26

transformation

Answer 26

A change in the size, shape, position, or orientation

of a graph

Question 27

translation

Answer 27

A transformation that shifts a graph horizontally
and/or vertically but does not change the size,
shape, or orientation of the graph

Question 28

vertex

Answer 28

The point where a graph changes direction

Question 29

vertex form of an absolute

value function

Answer 29

An absolute value function written in the form

f (x) = a | x - h | + k, where a does not = 0

Question 30

vertical shrink

Answer 30

A transformation that causes the graph of a
function to shrink toward the x-axis when all the
y-coordinates are multiplied by a factor a, where a

Question 31

vertical stretch

Answer 31

A transformation that causes the graph of a
function to stretch away from the x-axis when all
the y-coordinates are multiplied by a factor a,
where a > 1

Question 32

x-intercept

Answer 32

The x-coordinate of a point where the graph

crosses the x-axis

Question 33

y-intercept

Answer 33

The y-coordinate of a point where the graph

crosses the y-axis