Question 1

Which of the following is the correct period of the tangent function $$y = 	an(x)$$?

Accepted Answer

$$\pi$$

Question 2

Given the function $$y = a 	an(b(x - c)) + d$$, which parameter affects the period of the tangent function?

Accepted Answer

$$b$$

Question 3

What is the period of the function $$y = 	an(2x)$$?

Accepted Answer

$$\frac{\pi}{2}$$

Question 4

Which of the following describes the vertical asymptotes of $$y = 	an(x)$$?

Accepted Answer

$$x = \frac{\pi}{2} + n\pi, \; n \in \mathbb{Z}$$

Question 5

If $$y = 	an(x - \frac{\pi}{4})$$, how is the graph of $$y = 	an(x)$$ transformed?

Accepted Answer

Shifted right by $$\frac{\pi}{4}$$ units

Question 6

Which of the following is the correct formula for the period of $$y = 	an(bx)$$?

Accepted Answer

$$\frac{\pi}{b}$$

Question 7

A medical device uses the function $$y = 3 	an(2x) to $$model a periodic signal. What is the amplitude of this function?

Accepted Answer

Undefined

Question 8

Which of the following is the correct period of the secant function $$y = \sec(x)$$?

Accepted Answer

$$2\pi$$

Question 9

What are the vertical asymptotes of $$y = \sec(x)$$?

Accepted Answer

$$x = n\pi, \; n \in \mathbb{Z}$$

Question 10

A sound engineer is analyzing the function $$y = 2 \csc(3x)$$ for a repeating signal. What is the period of this function?

Accepted Answer

$$\frac{2\pi}{3}$$

Question 11

Which transformation occurs to the graph of $$y = 	an(x)$$ when the equation is changed to $$y = -	an(x)$$?

Accepted Answer

Reflection across the $$x-$$axis

Question 12

Which of the following is the correct period of the cotangent function $$y = \cot(x)$$?

Accepted Answer

$$\pi$$

Question 13

What are the vertical asymptotes of $$y = \cot(x)$$?

Accepted Answer

$$x = n\pi, \; n \in \mathbb{Z}$$

Question 14

A biologist models population cycles using $$y = 	an(x) + 2. $$What effect does the '+2' have on the graph?

Accepted Answer

Shifts the graph up by 2 units

Question 15

Which of the following is the correct period of the cosecant function $$y = \csc(x)$$?

Accepted Answer

$$2\pi$$

Question 16

If $$y = 	an(\frac{1}{2}x)$$, what is the period of the function?

Accepted Answer

$$2\pi$$

Question 17

A physicist is studying a wave modeled by $$y = 	an(3x - \frac{\pi}{2}). $$What is the period of this wave?

Accepted Answer

$$\frac{\pi}{3}$$

Question 18

Which of the following statements is true about the amplitude of $$y = 	an(x)$$?

Accepted Answer

The amplitude is undefined

Question 19

Which of the following functions has a period of $$2\pi$$?

Accepted Answer

$$y = \sec(x)$$

section 4.5

스터디 가이드 - 연습 문제