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Test Sections 2.3 & 2.4 Properties of Functions

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21 Nsɛmmisa
Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

Precalculus: Properties of Functions

Sections 2.3 & 2.4

Precalculus: Enhanced with Graphing Utilities, Texas Edition

Sullivan ©2016

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1.

Decide whether the graph of the function is even, odd or neither.

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2.

Decide whether the graph of the function is even, odd, or neither.

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3.

Determine algebraically whether the function is even, odd, or neither.

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5.

Use the graph to find the intervals on which it is increasing, decreasing, or constant.

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6.

Find the numbers, if any, at which f has a local minimum. What are the local minima?

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7.

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two decimal places.

graphed over the interval (-2, 2)

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10.

Graph the function.

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17.

Write a definition for the function graphed.

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18.

What is the charge for using 225 Kwh in one month?

Round answer to the nearest cent.

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19.

What is the charge for using 600 Kwh in one month?

Round answer to the nearest cent.

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21.

BONUS (+5pts)

John owns a hotdog stand. His profit is represented by the equation

with P being profits and x the number of hotdogs sold.

What is the most he can earn?

Round answer to nearest dollar.

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4.

Determine algebraically whether the function is even, odd, or neither.

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8.

Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. If necessary, round answers to two decimal places.

graphed over the interval (-5, 5).

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9.

Find the domain of the function.

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11.

What is the domain?

Use interval notation.

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12.

What is the range?

Use interval notation.

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13.

Locate any intercepts.

Write as an ordered pair separate multiple answers with a comma.

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14.

Evaluate f (0 )

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15.

Evaluate f (-3 )

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16.

Evaluate f (2 )

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20.

Construct a function that gives the monthly charge C for x kilowatts of electricity.

(Click on the choices to enlarge)