Chapter 3: Graphing Linear Functions

Functions

100

Is the following a function?

(1,-2),(2,1),(3,6),(4,13),(5,22)

Yes

200

Is the following a function?

(7,4),(5,-1),(3,-8),(1,-5),(3,6)

No

300

In the function y=25x+500, which variable is independent and which variable is dependent?

x=independent

y=dependent

400

Identify of independent and dependent variables.

The number of quarters you put into a parking meter affects the amount of time you have on the meter.

Independent=Number of quarters

Dependent=amount of time

500

Identify the independent and dependent variables.

The battery power remaining on your MP3 player is based on the amount of time you listen to it.

Independent=Amount of time you listen

Dependent=Battery power left

Linear Functions

100

Is a vertical line a function?

No

200

Linear or nonlinear?

(1,5),(2,10),(3,15),(4,20)

Linear

300

Linear or nonlinear?

(5,-9),(7,-3),(9,-1),(11,-3)

Nonlinear

400

Linear or nonlinear?

(4,16),(8,12),(12,7),(16,1)

Nonlinear

500

Linear or nonlinear?

(-1,35),(0,20),(1,5),(2,-10)

Linear

Function Notation

100

Evaluate the function at x=5

h(x)=-2x+9

-1

200

Evaluate the function at x=-2

b(x)=18-0.5x

19

300

Find the value of x.

t(x)=3x; t(x)=24

x=8

400

Find the value of x.

k(x)=6x-12; k(x)=18

x=5

500

Find the value of x.

j(x)=(-4/5)x+7; j(x)=-5

x=15

Standard Form

100

Find the x and y intercepts

2x+3y=12

(6,0),(0,4)

200

Find the x and y intercepts

-6x+9y=18

(-3,0),(0,2)

300

Find the x and y intercepts

-x+8y=4

(-4,0),(0,0.5)

400

Find the x and y intercepts

-12x+3y=24

(-2,0),(0,8)

500

Find the x and y intercepts

(-1/2)x+y=-4

(8,0),(0,-4)

Slope-Intercept Form

100

What is the formula for finding slope?

Rise over run (y₂-y₁)/(x₂-x₁)

200

Find the slope.

(-9,-2),(-5,0),(-1,2),(3,4)

1/2

300

Find the slope

(-1,-6),(2,-6),(5,-6),(8,-6)

0

400

Find the slope

(0,-4),(0,0),(0,4),(0,8)

Undefined

500

Find the slope and the y-intercept

y=-3x+2

Slope=-3

y-intercept=(0,2)