Question 1

Given the periodic function $$g(x)$$ shown in the first image, what is the least possible value of the period of $$g(x)$$?

Accepted Answer

$$6$$

Question 2

For the function $$h(x)$$ shown in the second image, which has a period of $$4$$, what is the value of $$h(7)$$?

Accepted Answer

$$1$$

Question 3

Given the graph of $$g(	heta) in $$the third image, what is the amplitude of the function?

Accepted Answer

$$3$$

Question 4

For the function $$f(	heta)$$ shown in the fourth image, what is the midline of the graph?

Accepted Answer

$$y = 3$$

Question 5

Given the graph of $$g(	heta) in $$the fifth image, what is the frequency of the function?

Accepted Answer

$$2$$

Question 6

For the function $$g(x)$$ shown in the sixth image, what is the period of the function?

Accepted Answer

$$4\pi$$

Question 7

Given the point $$\left(\dfrac{\pi}{2}, -4\right)$$ shown in the seventh image, if this is a minimum of a sinusoidal function, what is the amplitude if the maximum is $$6$$?

Accepted Answer

$$5$$

Question 8

For the function $$f(	heta)$$ shown in the eighth image, what is the value of $$f(0)$$?

Accepted Answer

$$3$$

Question 9

A yo-yo is rotated at a constant rate as shown in the ninth image. If the string is $$30$$ inches long and $$20$$ rotations are completed in $$5$$ seconds, what is the period of the sinusoidal function modeling the $$x-$$coordinate?

Accepted Answer

$$0.25$$ seconds

Question 10

In the tenth image, which point corresponds to the minimum value of the sinusoidal function?

Accepted Answer

$$J$$

Question 11

A toy car travels around a circular track as shown in the eleventh image. If the center of the track is $$20$$ inches from the wall and the car starts at the wall, what is the amplitude of the function modeling the distance from the wall?

Accepted Answer

$$20$$ inches

Question 12

Refer to the trigonometric model in the twelfth image. If the high tide is $$5.2 m $$and the low tide is $$2.0 m$$, what is the midline of the sinusoidal function modeling the water depth?

Accepted Answer

$$3.6 m$$

Question 13

Given the graph of $$f(x) in $$the thirteenth image, what is the period of the function?

Accepted Answer

$$2\pi$$

Question 14

Given the graph of $$k(x) in $$the fourteenth image, which of the following could be the expression for $$k(x)$$?

Accepted Answer

$$	an(x+2\pi)$$

Precalculus Unit 3A Review: Trigonometric Functions, Radian/Degree Conversion, and Sinusoidal Models

Study Guide - Practice Questions

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