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SOLUTION STEP 1 Make a table. x 0 2 4 6 8 y 4 3 2 1 0 EXAMPLE 4 Graph a linear function 1 2 Graph the function y = x + 4 with domain x > 0. Then identify the range of the function.

4.2 graph linear equations day 2

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Page 1: 4.2 graph linear equations   day 2

SOLUTION

STEP 1

Make a table.

x 0 2 4 6 8

y 4 3 2 1 0

EXAMPLE 4 Graph a linear function

12Graph the function y = – x + 4 with domain x > 0.

Then identify the range of the function.–

Page 2: 4.2 graph linear equations   day 2
Page 3: 4.2 graph linear equations   day 2

STEP 2

STEP 3

Connect the points with a ray because the domain is

restricted.

STEP 4

Identify the range. From the graph, you can see that all

points have a y-coordinate of 4 or less, so the range of

the function is y ≤ 4.

EXAMPLE 4 Graph a linear function

Plot the points.

Page 4: 4.2 graph linear equations   day 2

GUIDED PRACTICE for Example 4

5. Graph the function y = – 3x + 1 with domain x < 0.

Then identify the range of the function.–

SOLUTION

STEP 1

Make a table.

x 0 – 1 – 2 – 3 – 4

y 1 4 7 10 13

Page 5: 4.2 graph linear equations   day 2
Page 6: 4.2 graph linear equations   day 2

GUIDED PRACTICE for Example 4

STEP 2

STEP 3

Connect the points with a ray because the domain is

restricted.

STEP 4

Identify the range. From the graph, you can see that all

points have a y-coordinate of 1 or more, so the range of

the function is y 1.–

Plot the points.

Page 7: 4.2 graph linear equations   day 2

• Graph the function y = -x – 1

domain :

x y

1 3x

Page 8: 4.2 graph linear equations   day 2
Page 9: 4.2 graph linear equations   day 2

• Assignment: P.219 (#23-25 – matching,

26-30, 35,36)

(graph & identify the range)