Download Graphing Linear Equations with Restricted Domain and Range

4.5
Day 2
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 x  2 with range y  2
What is the resulting domain?
3) Graph f ( x) 
3
x  5 with domain x  4
2
What is the resulting range?
2) Graph f ( x)  6 with domain x  2
What is the resulting range?
4) Graph y  
2
x  1 with domain x  5
5
What is the resulting range?
Challenge!
5) Graph f ( x)  3x with domain 2  x  2
What is the resulting range?
6) Graph y  1  2x with range 7  y  3
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?