Function Basics

The definition of a function is:

• Anything that can be used a measuring tool

• Anything that takes an input and gives exactly one output

• Anything that takes an output and gives exactly one input

• Everything in math is known as a function

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CCSS.8.F.A.1

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A garden hose is used to fill up the pool. The volume of water in the pool is a function of the time the hose is running.

What is the independent variable in this situation?

• The hose

• The pool

• The time

• The volume of water

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CCSS.6.EE.C.9

A garden hose is used to fill up the pool. The volume of water in the pool is a function of the time the hose is running.

What is the dependent variable in this situation?

• The hose

• The pool

• The time

• The volume of water

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CCSS.6.EE.C.9

Function Q gives a puppy's weight in pounds as function of its age in months.

Write the following in function notation: When the puppy turned 12 months old, it weighed 19.6 pounds.

• Q(12) = 19.6

• Q(19.6) = 12

• Q(1) = 19.6

• Q(19.6) = 1

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CCSS.HSF.IF.A.2

An art museum opens at 9 a.m. and closes at 5 p.m. The function V gives the number of visitors in a museum h hours after it opens.

Use function notation to represent the statement: At the time of closing, there were no visitors in the museum.

• V(5) = 0

• V(0) = 5

• V(8) = 0

• V(0) = 8

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CCSS.HSF.IF.A.2

Write a rule for a function P that gives the perimeter of a square, in inches, when the side length is x inches.

• P(x) = 4x

• P(x) = 4^x

• P(x) = x⁴

• P(4) = x

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The monthly cost a data plan can be represented by the function

C(x) = 30x + 5

What is C(0.7)?

• 26

• 30

• 5

• 0.7

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CCSS.HSF.LE.B.5

The graph shows the height of the squirrel, h

(feet), as a function of time, t (seconds).

What is the maximum height the squirrel reaches?

• 14 feet

• 4 seconds

• 1.5 seconds

• 10 feet

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CCSS.HSF.IF.B.4

The graph shows the height of the squirrel, h

(feet), as a function of time, t (seconds).

Solve h(t) = 0.

• t = 9

• t = 4

• t = 1.5

• t = 10

Finding the average rate of change is similar to finding the _________ of a graph.

• Slope

• Vertical Intercept

• Horizontal Intercept

• Curvature

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CCSS.8.F.B.4

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