Graphing Linear Equations with Restricted Domain and Range

Recall: What happened when we were given a specified domain? How did we graph the equation differently?

… But what happens when we graph over a restricted domain or range (such as x > 2 or 0 < y ≤ 5)?

If the domain (or range) specifies that x lies between two numbers, the graph will be a

_________________________________________________ (no arrows). Example: -1 ≤ x ≤ 2

If the domain (or range) has x > # or x < #, the graph will be a ___________________________________ (arrow on one

end). Example: x ≥ 0

Let’s try it out!

1) Graph 2x with range 2y

2) Graph ( ) 6f x with domain 2x

What is the resulting domain? What is the resulting range?

3) Graph 3

( ) 52

f x x with domain 4x 4) Graph 2

15

y x with domain 5x

What is the resulting range? What is the resulting range?

4.5

Day 2

5) Graph ( ) 3f x x with domain 2 2x

6) Graph 1 2y x with range 7 3y

What is the resulting range? What is the resulting domain?

7) You and your friend are going trick or treating together this year. Before you leave your house, you stock your

bag with 12 pieces of your favorite candy from mom’s candy bowl. From 4:00pm until the time you return

home at 5:40pm, you and your friend collect 4 pieces of candy every 5 minutes.

a. Write an equation using m as the number of

minutes you have been trick or treating and P as

the number of pieces of candy you have in your

bag.

b. Is there a domain or range restriction? If so,

identify it. Think of the context of the problem.

c. Sketch the graph. Should your graph have arrows

on the ends??

d. How many pieces of candy will be in your bag

after:

i. 0 minutes (what is this called?)

ii. 15 minutes?

iii. One hour?

iv. When you return home at 5:40?

Challenge!