DO NOW. Find each function value: 1. Solve for y, if x = 4: y = x - 6

f(4) if f(x) = x – 6

2. On a highway, a car travels an average of 55 miles in one hour. Write a function to represent the distance d(t) a car can travel in t hours. At this rate, how far can the car travel in 5 hours?

TODAY’S OBJECTIVE SWBAT Identify continuous and discrete

graphs

KEY VOCABULARY Linear function: is a function in which the

graph of the solutions forms a line.

A function can be either continuous or discrete.

A continuous graph can take on any value, so

there is no space between data values for a given domain. A continuous graph is a graph that is unbroken.

A discrete graph is a graph that is composed of distinct isolated points. A discrete graph has space between possible data values.

EXAMPLE OF CONTINUOUS GRAPH

EXAMPLE OF DISCRETE GRAPH

EXAMPLE Example 1: 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. Decide if each graph is continuous or discrete.Amount of Milk(in gallons)

Wheels of Cheese

1 5

2 10

3 15

Wheels of Cheese

Cost (in dollars)

1 7

2 14

3 21

EXAMPLE 2 Each member of a health club receives

two free guest passes. 1. Write a function to represent this situation. 2. Make a function table to show the number of guest passes given out to 10, 20, 30 and 40 members. 3. Graph the function. Is the function continuous or discrete? Explain your answer.

YOU TRY! Graph each function rule. Is the graph

continuous or discrete?

1. The amount of water w in a wading pool in gallons depends on the time t in minutes that the hose has been on. This is related by the function w=3t.

2. The cost c for baseball tickets in dollars depends on the number n of tickets bought,, as related by the function rule C=16n.

YOU TRY #2 The function rule w = 146c + 30,000

represents the total weight w, in pounds, of a concrete mixer truck that carries c cubic feet of concrete. If the capacity of the truck is about 200 ft3, what is a reasonable graph of the function rule?

Step 1: create a table to find ordered pairs (c, w) in place of (x, y).

Step 2: Graph the ordered pairs from the table.

HOMEWORK Workbook Page: 123 problems 1-5 Page: 125 problems 1-5

EXIT TICKETA store sells assorted nuts for $5.95 per pound.

1. Write a function to represent the situation.

2. Make a function table to find the total cost of 1, 2, 3, or 4 pounds of nuts.

3. Is the function continuous or discrete? Explain.