Trigonometric Functions - Practice Quiz

State the equation of the axis for the function below:

 $g\left(x\right)=2\cos\left(\frac{1}{3}x+\frac{π}{6}\right)+2$  

•  $y=\frac{1}{3}$  
  

•  $y=\frac{\pi}{6}$  
  

•  $y=2$  
  

•  $y=\frac{\pi}{2}$  
  

What is the range of the following function:

 $f\left(x\right)=-3\sin x-2$  

•  $\left\{y\epsilon R\parallel-2\le y\le2\right\}$  

•  $\left\{y\epsilon R\parallel-5\le y\le1\right\}$  

•  $\left\{y\epsilon R\parallel-4\le y\le2\right\}$  
  

•  $\left\{y\epsilon R\parallel-3\le y\le3\right\}$  
  

What is the period of the function

 $y=-4\cos(5x\ -\ \pi)+3$  

•  $P=\frac{2π}{5}$  
  

•  $P=π$  
  

•  $P=\frac{5π}{2}$  
  

•  $P=\frac{\pi}{5}$  
  

How does a negative 'a' value impact a sine or cosine function?

Choose all that apply.

• A negative amplitude

• A reflection across the Y axis

• No effect

• A reflection across X axis

• Max points become min points, and vice versa

How many "key points" should be included in every cycle/period of a sine or cosine graph?

• As many as I want
• It depends on the graph
• 4
• 5

Tags

CCSS.HSF-IF.C.7E

What is the equation of graph?

• $y=\sin5x$
  

• $y=\cos5x$
  

• $y=5\sin x$
  

• $y=5\cos x$

What is the period of the graph?

• $P=2\pi$

• $P=\pi$
  

• $P=\frac{\pi}{2}$
  

• $P=3\pi$
  

What is the period of the function: $f\left(x\right)=10\sin\left(\frac{6\pi}{4}\left(x-\frac{\pi}{2}\right)\right)+25$  ?

•  $\frac{4}{3}$  

•  $\frac{2}{3}$  

•  $2$  

•  $\frac{3}{4}$  

A loop on a roller coaster has its highest point at 42 m and it's lowest point at 18 m. If the height of a cart on the loop of the roller coaster were modelled by a sine or cosine function, what would the amplitude be?

• 14 metres

• 24 metres

• 30 metres

• 12 metres

Choose the correct properties of the function below:

 $h\left(\theta\right)=\tan\theta$  

•  $P=2\pi$  

•  $P=\pi$  

•  $Amplitude=1$  

•  $x-int=n\pi$  

•  $VA=\frac{n\pi}{2},\ n\ is\ odd$