Function Notation Answers

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Complete the statements.

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Blank 1:1/2

Blank 2:8

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62480

Use the drop-down menus to complete the statements.

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The ordered pair given in the first row of the table can be written using function notation as.:f(–6) = 8

f(3) is.:–2

f(x) = –5 when x is.:4

62481

–3✔ –237

–3

✔ –2

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–5✔ 4512

–5

✔ 4

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altitude of the balloon✔ time after the balloon begins to descendtime it takes the balloon to reach the ground

altitude of the balloon

✔ time after the balloon begins to descend

time it takes the balloon to reach the ground

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✔ altitude of the balloontime after the balloon begins to descendtime it takes the balloon to reach the ground

✔ altitude of the balloon

time after the balloon begins to descend

time it takes the balloon to reach the ground

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time it takes the balloon to reach an altitude of 5.5 feet✔ altitude of the balloon after 5.5 minutestime it will take the balloon to reach the ground, or 5.5 minutes

time it takes the balloon to reach an altitude of 5.5 feet

✔ altitude of the balloon after 5.5 minutes

time it will take the balloon to reach the ground, or 5.5 minutes

62504

The mapping diagram shows a functional relationship.

Answers:

Blank 1:1/2

Blank 2:8

62505

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

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

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

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

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

62506

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?

The graph is discrete because there cannot be fractional values for time.

The graph is discrete because there cannot be negative values for altitude.

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

The graph is continuous because there can be negative values for altitude.

62507

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

{t| 0 ≤ t ≤ 14}

{h| 0 ≤ h ≤ 210}

{t | 0 ≤ t ≤ 210}

{h | 0 ≤ h ≤ 14}

62508

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.

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.

62509

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

f(c) = p +

f(c) = 3c + 5

f(p) = p +

f(p) = 3c + 5

62510

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.

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.

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

t represents time, which is the input of the function.

h(t) represents the altitude, which is the output of the function.

After 10 minutes, the hot air balloon is at 60 feet.

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