PC: Pre-Test- Graphs of Trig Functions

• 9

• 3

• I don't know

Which of the following is the graph of

 $f\left(x\right)=\tan\left(x\right)$  

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• 
• 
• 
• I don't know

What is the RANGE of the following function:

 $f\left(x\right)=2\cos\left(x\right)-4$  

•  $\left(-\infty,\ \infty\right)$  

•  $\left[-6,\ -2\right]$  

•  $\left[-2,\ 2\right]$  

•  $\left[2,\ 6\right]$  

• I don't know

• 3

• I don't know

Which of the following trig functions have asymptotes as part of their graphs?

*select all that apply

•  $y=\sin\left(x\right)$  

•  $y=\tan\left(x\right)$  

•  $y=\sec\left(x\right)$  

•  $y=\cos\left(x\right)$  

• I don't know

Consider the parent function  $f\left(x\right)=\sin\left(x\right)$  , which equation below describes the parent function with a vertical shift of 6 units?

•  $f\left(x\right)=6\sin\left(x\right)$  

•  $f\left(x\right)=\sin\left(6x\right)$  

•  $f\left(x\right)=\sin\left(x+6\right)$  

•  $f\left(x\right)=\sin\left(x\right)+6$  

• I don't know

What is the period of the graph of this cosine function?

• $\left[-1,\ 1\right]$

• $\left(-\infty,\ \infty\right)$

• $2\pi$

• $\pi$

• I don't know

What is the amplitude of the graphed sine function?

• -3

• 4

• 5

• $\pi$

• I don't know

 $f\left(x\right)=-2\cos\left(x-\pi\right)$  

Identify all graph characteristics for the following:

• down 2 units; shifted  $\pi$  units to the right; period is  $2\pi$  

•  $2\pi$  amplitude is 2; shifted  $\pi$  units to the left; period is  $\pi$  

• amplitude is 2; shifted  $\pi$  units to the right; reflection over x-axis; period is  $2\pi$  

• left 2 units; period is  $2\pi$  ;  down  $\pi$  units; reflection over y-axis

• I don't know

• A

• B

• H

• K

• I don't know