Lesson 2 Function Notations

Lesson Function Notations

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Multiple Choice

The height of water in a bathtub, w, is a function of time, t. Let P represent this function. Height is measured in inches and time in minutes.

Match each statement in function notation with a description.

P(0)=0

• After 20 minutes, the bathtub is empty.

• The bathtub starts out with no water.

• After 10 minutes, the height of the water is 4 inches.

• The height of the water is 10 inches after 4 minutes.

Multiple Choice

The height of water in a bathtub, w, is a function of time, t. Let P represent this function. Height is measured in inches and time in minutes.

Match each statement in function notation with a description.

P(4)=10

• After 20 minutes, the bathtub is empty.

• The bathtub starts out with no water.

• After 10 minutes, the height of the water is 4 inches.

• The height of the water is 10 inches after 4 minutes.

Multiple Choice

The height of water in a bathtub, w, is a function of time, t. Let P represent this function. Height is measured in inches and time in minutes.

Match each statement in function notation with a description.

P(10)=4

• After 20 minutes, the bathtub is empty.

• The bathtub starts out with no water.

• After 10 minutes, the height of the water is 4 inches.

• The height of the water is 10 inches after 4 minutes.

Multiple Choice

The height of water in a bathtub, w, is a function of time, t. Let P represent this function. Height is measured in inches and time in minutes.

Match each statement in function notation with a description.

P(20)=0

• After 20 minutes, the bathtub is empty.

• The bathtub starts out with no water.

• After 10 minutes, the height of the water is 4 inches.

• The height of the water is 10 inches after 4 minutes.

Multiple Choice

Function f gives the distance of a dog from a post, in feet, as a function of time, in seconds, since its owner left.

Find the value of f(20)

• 2.5

• 3

• 3.5

• 4

Multiple Choice

Function f gives the distance of a dog from a post, in feet, as a function of time, in seconds, since its owner left.

Find the value of f(140)

• 2.5

• 3

• 3.5

• 4

Multiple Choice

Function C gives the cost, in dollars, of buying n apples. What does each expression or equation represent in this situation?

C(5)=4.50

• The cost of 5 apples is $4.50

• The cost of 4.5 apples is $4.50.

• The cost of 4.5 apples is $5.50.

• The cost of 4.5 apples is $5.00

Multiple Choice

Function C gives the cost, in dollars, of buying n apples. What does each expression or equation represent in this situation?

C(2)

• What is the cost of 2 apples?

• How many apples can you buy for $2.00

Fill in the Blanks

Solve each system of equations without graphing. List your answer as an ordered pair with no spaces ex (3,5)

{-5x+3y=-8   

3x−7y=-3

Fill in the Blanks

Solve each system of equations without graphing.

List your answer as an ordered pair with no spaces.

{-8x−2y=24  

5x−3y=  2