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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… Rule Table of Values GraphGallon

sMiles

g d(g)

0 0

1 30

2 60

3 90

Suppose a car gets 30 mi/gal. Then the distance d(g) that the car travels is a function of the number of gallons g. Rule Table of Values Graph

1) Suppose the car used 14 gal of gas. How far did it travel?

2) How did you find that answer? Describe another method.

Gallons

Miles

g d(g)

0 0

1 30

2 60

3 90

EXAMPLESuppose 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.Step 1: Choose values for h that seem reasonable

Step 2: Input the values for h.

Step 3: Plot the ordered pairs

TRY IT WITH A PARTNER…

Model the rule with a table of values and a graph.

EXAMPLE

Graph the function y = x2 – x - 6

TRY IT ON YOUR OWN…

Graph the function y = -3x2 + 1

EXAMPLE

Make a table of values for the graph below.

CLASSWORK/ HOMEWORK

Pg 86 #1–6 12, 14, 31