AFDA – Unit 3: Absolute Value + Piecewise Functions
Day 7 HW: Three Piecewise and Word Problems
Name: _________________
Block: _____ Date:_______
Directions: Graph each piecewise function.
2 x  3,
1.) f ( x)   x  5,
1,

1,

3.) f ( x)  1,
 x,

x  1
1  x  2
x2
x  1
1  x  1
x 1
x  2
  x,

2.) f ( x)   x  3,  2  x  1
 x  2,
x 1

 x  4,
 1
4.) f ( x)   x,
 2
1,
x  2
2 x  2
x2
5.) Southeast Electric charges $0.09 per kilowatt-hour (kWh) for the first 200 kWh.
The company charges $0.11 per kWh for all electrical usage in excess of 200 kWh.
Come up with a piecewise function that describes this situation. How much would your
bill be if you used 400 kWh?
6.) The PFHS Debate team is going to nationals! To support them, the school decides
to buy shirts! The website selling the shirts charges $12.50 per shirt plus $20 shipping
for the first 200 shirts. For orders of more than 200 shirts, they charge $10 per shirt
and charge $30 shipping. Create a piecewise function to represent the scenario. How
much will it cost the school to buy 375 shirts?