Retake EXAM 4B Part 1 (corrected)

Given the function

 $f\left(x\right)=\tan\left(3x\right)$  with the domain  $\left[-\pi,\ \pi\right]$ , circle the correct choice inside the parenthesis to complete the sentence. There are _______  complete cycles.  

• 3

• 4

• 5

• 6

• 2

Given the function

 $f\left(x\right)=\tan\left(3x\right)$  with the domain  $\left[-\pi,\ \pi\right]$ , circle the correct choice inside the parenthesis to complete the sentence. One of the x-intercepts occurs at _____________. 

•  $\frac{\pi}{2}$  

•  $\frac{\pi}{4}$  

•  $\frac{\pi}{3}$  
  

•  $\frac{\pi}{6}$  

•  $\frac{\pi}{5}$  

Given the function

 $f\left(x\right)=\tan\left(3x\right)$  with the domain  $\left[-\pi,\ \pi\right]$ , circle the correct choice inside the parenthesis to complete the sentence. One of the vertical asymptotes occurs at __________. 

•  $\frac{\pi}{2}$  

•  $\frac{\pi}{4}$  

•  $\frac{\pi}{3}$  
  

•  $\frac{\pi}{6}$  

•  $\frac{\pi}{5}$  

Given the function $f\left(x\right)=4+2\sin\left(\frac{\pi}{4}\left(x-6\right)\right)$  select the correct word/number in the parenthesis for the following statement. The function is shifted  __________  ____________ units  

• left , 2 

• right, 6

• up, 3

• down, 4

• diagonally, 2

Given the function $f\left(x\right)=4+2\sin\left(\frac{\pi}{4}\left(x-6\right)\right)$  select the correct word/number in the parenthesis for the following statement. The function has a period of  ____________ units in length. 

• 2 

• 4

• 6

• 8

• 10

Given the function $f\left(x\right)=4+2\sin\left(\frac{\pi}{4}\left(x-6\right)\right)$  select the correct word/number in the parenthesis for the following statement. The function has a max y-value of   ____________. 

• 1

• 4

• 6

• 9

• 11

Given the function $f\left(x\right)=4+2\sin\left(\frac{\pi}{4}\left(x-6\right)\right)$  select the correct word/number in the parenthesis for the following statement. The function has a y-intercept of   ____________. 

• (0,0)

• (0,2)

• (0,4)

• (0,6)

• (0,8)

When you board a ferris wheel moving counter-clockwise at a constant rate, your feet are 5ft off of the ground. At the highest point of the ride, your feet are 55ft above the ground. It takes 150 seconds for the ride to complete one full revolution. Choose the correct function to model this situation.