1. 2-6 THE THREE VIEWS OF A FUNCTION MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: GRAPH A FUNCTION; CREATE A TABLE OF VALUES FROM A RULE AND A GRAPH.

2. 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?

3. THINK ABOUT IT… Name different ways to represent this pattern using words, sketches, symbols, or any other mathematical method. 3, 6, 9, 12, …

4. THREE VIEWS OF A FUNCTION… GallonsMiles g d(g) 00 130 260 390

5. GallonsMiles g d(g) 00 130 260 390

6. 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. Step 1: Choose values for h that seem reasonable Step 2: Input the values for h. Step 3: Plot the ordered pairs

7. TRY IT WITH A PARTNER… Model the rule with a table of values and a graph.

8. EXAMPLE Graph the function y = x 2 – x - 6

9. TRY IT ON YOUR OWN… Graph the function y = -3x 2 + 1

10. EXAMPLE Make a table of values for the graph below.

11. CLASSWORK/ HOMEWORK Pg 86 #1–6 12, 14, 31