Unit 6 Review: Functions

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 description statement with the function notation that best represents that statement.

• P(20) = 0

• After 20 minutes, the bathtub is empty.

• P(0) = 0

• The bathtub starts out with no water.

• P(4) = 10

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

• P(10) = 4

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

Function f gives the temperature, in degrees Celsius, t hours after midnight. Which function notation properly expresses the statement: "At 1:30 p.m., the temperature was 20 degrees Celsius."

• f(1.5) = 20

• f(1:30) = 20

• f(13.5) = 20

• f(13:30) = 20

Function W gives the weight of a puppy, in pounds, as a function of its age, t, in months.

What does the statement w(2)=5 mean in the context of the scenario?

• When the puppy is 5 months old, it weighs 2 pounds.

• When the puppy is 2 months old, it weighs 5 pounds.

• The puppy is 2 years old and weighs 50 pounds.

• The puppy is 5 years old and weighs 2 pounds.

Which value below is NOT part of the function's domain?

• x = -4

• x = -2

• x = -1

• x = 4

Which two statements identify all the values of t for which the function is decreasing? SELCT ALL THAT APPLY.

Which statements comparing the number of people in the libraries are true? SELECT ALL THAT APPLY.

What is the equation defining the function?

Which statements are true? SELECT ALL THAT APPLY.

• C(12) = 150

• C(20) = 260

• C(12) = 260

• C(15) = 260

The graph below represents Andre's distance from his bicycle as he walks in the park. Which statements about the function and graph are true? SELECT ALL THAT APPLY.

• The minimum of the graph is (17, 1)

• A horizontal intercept of the graph is (27, 0)

• The graph has two maximums.

• The graph has multiple horizontal intercepts.