Piecewise Functions
Absolute value
Inverse functions
100
How much does it cost for a 7 year old to ride the train?
f(7)=$5
100
|x-5|=10
x=15; x=-5
100
Rewrite the function in inverse form:
f(x)=2x+1
x=(f(x)-1)/2
200
Identify f(2)
f(2)=1
200
Identify the equation of the graph:
f(x)=|x|-3
200
Rewrite the function in terms of x:
f(x)=3x-5
(f(x)+5)/3=x
300
How much does it cost to park for 1 hour? 4.5 hours?
1 hour costs $0
4.5 hours costs $6
300
Identify the equation of the graph:
f(x)=|x+2|+3
300
Rewrite the function in terms of c:
8c+3b=10
c=(10-3b)/8
400
Identify f(1) and f(3)
f(1)=3, f(3)=0
400
The dance team budgeted $200 for their team dinner. Any variation, higher or lower is considered an error in their budget and may effect their budget next year. The function, b, gives the absolute budget error.
What does b(0) represent?
They spent their exact budget.
400
Rewrite the function in terms of t. 
What does the inverse equation represent?
t=d/80
Time as a function of distance
500
How much does it cost to send a letter that weighs 1.5 oz? 3 oz?
P(1.5)=1.72
P(3)=2.29
500
The dance team budgeted $200 for their team dinner. Any variation, higher or lower is considered an error in their budget and may effect their budget next year. The function, b(d) gives the absolute budget as a function of money spent.
What is the value of b(d) when they spent $194? When they spend $216?
b(194)=6
b(216)=16
500
h(p)=(7-6p)/2
(2h(p)-7)/-6