Interpreting Functions

Function w gives the weight of a cat, in kilograms, when it is m months old. Which statement represents the meaning of the equation w(7) = 4 in this situation?

• The cat weighs 7 kilograms when it is 4 months old.

• The cat weighs 4 kilograms when it is 7 months old.

• The weight of the cat has been 7 kilograms for 4 months.

• The cat weighs 4 kilograms when it is 7 years old.

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Function d gives the distance of a boat from the dock t seconds after leaving the dock. Distance is measured in meters. Here is a graph that represents d. Select all statements in function notation that represent the situation.

• d(0) = 170

• d(30) = d(70)

• d(t) = 10 when t is 20

• d(170) = 0

• d(0) = 0

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

A ball bounces several times after it is dropped. The graph shows the height of the ball over time. Height is measured in meters and time is measured in seconds. Select all statements that are true about the graph and the situation it represents.

• The vertical intercept shows the time when the ball hits the ground.

• The vertical intercept shows when the ball is dropped.

• The function has the maximum value at the vertical intercept.

• The horizontal intercepts of the graph show the times when the ball hit the ground.

• The function has no minimum value.

Function R gives the amount of rain measured by a rain gauge t hours since it started raining. The amount of rain is measured in millimeters.

What does the expression R(3) mean?

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Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Function R gives the amount of rain measured by a rain gauge t hours since it started raining. The amount of rain is measured in millimeters.

What does the equation R(0.5) = 14 mean in this situation?

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Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Function R gives the amount of rain measured by a rain gauge t hours since it started raining. The amount of rain is measured in millimeters.

Use function notation to represent this statement: Six hours after it started raining, the amount of rain was 37 millimeters.

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Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Function R gives the amount of rain measured by a rain gauge t hours since it started raining. The amount of rain is measured in millimeters.

Use function notation to represent this statement: The amount of rain 90 minutes after it started raining was the same as the amount 120 minutes after it started raining.

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Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

What does the notation f(x) mean? Select all that apply.

• The function f of x

• The dependent variable, y.

• The independent variable, x

• x is dependent upon y.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

True or False: A relationship with the coordinates (1, 4) (2, 8) (2, 10) and (3, 12) would be a function because all the outputs are unique.

• True

• False