Name:
Date:
2-5 Notes (The Three Views of a Function)
Warm Up:
A soccer player is preparing for a tournament by running 3 mi
every day for 6 wk. The first week her run took 21 min and 40 s.
Each week she trimmed 25 s off her time. How long did the 3-mi
run take her during the last week?
Think About it…
Name different ways to represent this pattern using words, sketches,
symbols, or any other mathematical method.
3, 6, 9, 12, …
Three Views of a Function
d(g) = 30g
Gallons
Miles
g
d(g)
0
0
1
30
2
60
3
90
Example: Suppose a car gets 30 mi/gallon. Then the distance d(g) that the car
travels is a function of the number of gallons g.
1)
2)
Example:
Suppose you hire an electrician to install an electrical outlet. The electrician charges
$68 for materials plus $40 an hour for service. The total cost C(h) is a function of the
number of hours it takes to do the job. Use the rule C(h) = 68 + 40h to make a table of
values and then a graph.
Example: Model the rule with a table of values and a graph.
Example: Graph the function.
Example: Graph the function
Example:
Homework: