Objective: To graph equations that represent functions

Section 4-4 Graphing a

Function Rule

Problem #1: Graphing a Function Rulea) What is the graph of the function rule y = -2x + 1?STEP 1:

STEP 2:

Problem #1: Graphing a Function Ruleb) What is the graph of the function rule ?STEP 1:

STEP 2:

Problem #1Got It?

What is the graph of the function rule ?

STEP 1:

STEP 2:

Problem #4: Graphing Nonlinear Function Rulesa) What is the graph of the function rule ?STEP 1:

STEP 2:

Problem #4: Graphing Nonlinear Function Rulesb) What is the graph of the function rule ?STEP 1:

STEP 2:

Problem #4: Graphing Nonlinear Function Rulesc) What is the graph of the function rule ?STEP 1:

STEP 2:

Problem #4Got It?

What will the graph of each function look like? 1)

2)

3)

4)

*HomeworkGraph 8 functions provided on graph paper.

Objective: To graph equations that represent functions

Section 4-4 Continued…

Problem #2: Graphing a Real-World Function Rulea) The function rule C = 12.5h + 30 represents the total cost of renting a truck for h hours. What is a reasonable graph of the function given that the daily limit is 12 hours.

Problem #2: Graphing a Real-World Function Ruleb) The function rule W = 146c + 30,000 represents the total weight of a concrete mixer truck that carries cubic feet of concrete. If the capacity of the truck is about 200 , what is a reasonable graph of the function rule?

Problem #2Got It?

The function rule W = 8g + 700 represents the weight of a hot tub that contains gallons of water. What is a reasonable graph of the function rule, given that the capacity of the spa is 250 gal?

KEY VocabularyContinuous Graph: A graph that is unbroken

Discrete Graph: Composed of distinct, isolated points

Problem #3: Identifying Continuous and Discrete Graphsa) A local cheese maker is making cheddar cheese to sell at a farmer’s market. The amount of milk used to make the cheese and the price at which he sells the cheese are shown. Write a function for each situation. Graph each function. Is the graph continuous or discrete?

Problem #3: Identifying Continuous and Discrete Graphsb) The amount of water w in a wadding pool, in gallons depends on the amount of time t, in minutes, the wadding pool has been filling, as related by the function rule w=3t. Graph the function. Is the graph continuous or discrete?

Problem #3: Identifying Continuous and Discrete Graphsc) Megan buys eggs at the supermarket for $1.75 per carton. The cost is a function of the number of cartons bought. Graph the function. Is the graph continuous or discrete?

*Homework