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Answers HCISD-Mathematical Models with Applications B-CR SUMMERModeling with Periodic Functions

Modeling with Periodic Functions — Cumulative exam Answers

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Idenify the domain for the function, f(x).

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Domain of piece 2: [)

–5, 5

–3, 3

–1, 1

For which value of is cot () undefined?

90º

180º

270º

450º

Question text not available

Option

Idenify the domain for the function, f(x).

Option

Idenify the range for the function, f(x).

Option

Question text not available

Answer not available

What is the range of this function?

Option

Idenify the range for the function, f(x).

Option

Domain of piece 3:[]

–5, 5

1, 5

1, –3

What is the range of this function?

Option

Which transformations are needed to change the parent sine function to the sine function below?

vertical compression of , horizontal stretch to a period of , vertical shift of 1 unit up, phase shift of units left

vertical stretch of 2, horizontal compression to a period of , vertical shift of 2 units up, phase shift of units left

vertical stretch of , horizontal compression to a period of , vertical shift of 1 unit up, phase shift of units left

vertical compression of , horizontal stretch to a period of , vertical shift of 1 unit down, phase shift of units left

Select the rule for each piece.Rule for piece 1:

y = –x

y = 1 – x

y = x + 1

The set of life spans of an appliance is normally distributed with a mean = 48 months and a standard deviation = 8 months. What is the life span of an appliance that has a z-score of –3?

3 months

24 months

45 months

72 months

Rule for piece 2:

y = –1

y = 0

y = 1

A circle has a central angle measuring radians that intersects an arc of length 18 cm. What is the length of the radius of the circle? Round your answer to the nearest tenth. Use 3.14 for .