Function Notation

Question 1

Complete the statements.

Revolt · Accepted Answer

: 1/2; : 8

Question 2

The mapping diagram shows a functional relationship.

Revolt · Accepted Answer

: 1/2; : 8

Question 3

Which statement best describes the function h(t) = 210 – 15t?

Revolt · Accepted Answer

B: h is the function name; t is the input, or independent variable; and h(t) is the output, or dependent variable.

Question 4

A hot air balloon descends to the ground. The function h(t) = 210 – 15t can be used to describe the altitude of the balloon as it approaches the ground. Which statement best describes the graph of the function that models the descent of the balloon?

Revolt · Accepted Answer

C: The graph is continuous because there can be fractional values for time.

Question 5

What is the domain of the function represented in the graph?

Revolt · Accepted Answer

A: {t| 0 ≤ t ≤ 14}

Question 6

The function h(t) = 210 – 15t models the altitude of a hot air balloon over time t, in minutes.Explain what h(10) means in the context of the real-world scenario, and how to find its value.

Revolt · Accepted Answer

In this context, h(10) represents the altitude of the hot air balloon after 10 minutes. To find its value, substitute 10 for t in the function: h(10) = 210 - 15(10). This simplifies to h(10) = 210 - 150, which equals 60. Therefore, the altitude of the balloon after 10 minutes is 60 units.

Question 7

Consider the function represented by the equation 6c = 2p – 10. Write the equation in function notation, where c is the independent variable.

Revolt · Accepted Answer

B: f(c) = 3c + 5

Question 8

Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and the distance she rides is represented by the variable d. This relationship is modeled with distance d as a function of time t. Which statements are true of the scenario? Select two answers.. The independent variable, the input, is the variable d, representing distance.The distance traveled depends on the amount of time Marlene rides her bike.The initial value of the scenario is 16 miles per hour.The equation t = d + 16 represents the scenario.The function f(t) = 16t represents the scenario.

Revolt · Accepted Answer

B: The distance traveled depends on the amount of time Marlene rides her bike.; E: The function f(t) = 16t represents the scenario.

Question 9

Question 9

Revolt · Accepted Answer

8

Question 10

What did you include in your response? Check all that apply.

Revolt · Accepted Answer

A: t represents time, which is the input of the function.; B: h(t) represents the altitude, which is the output of the function.; C: After 10 minutes, the hot air balloon is at 60 feet.

Function Notation Answers

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