Attributes of Sine, Cosine, & Tangent Functions

Which graph shows the parent function

 $f\left(\theta\right)=\sin\left(\theta\right)$  ?

• 
• 
• 
• 

What are the maximum and minimum values of the function

 $f\left(\theta\right)=\sin\left(\theta\right)$  ?

• 0 and 1

• 1 and -1

• 0 and -1

• 0 and 360

How many x-intercepts does the graph of the parent sine function have?

• 0

• 8

• 16

• $\infty$

The period of the sine graph is

• 90 degrees

• 1

• 360 degrees

• $\infty$

Which of the following is the domain of the function y = sin(x)? Mark all that apply

• All real x values

• 0° ≤ x ≤ 360°

• 0 ≤ x ≤ 2π

• -1 ≤ x ≤ 1

• All real y values

Which of the following is the range of the function y = sin(x)? Mark all that apply

• All real x values

• 0° ≤ x ≤ 360°

• y∊ [-1,1]

• -1 ≤ x ≤ 1

• -1 ≤ y ≤ 1

Sine or Cosine parent function?

• y=sinx

• y=cosx

Does the graph of sine have asymptotes?

• no
• yes, at multiples of π
• sometimes
• yes at multiples of 2π

What are the vertical asymptotes for y = tan(x)?

• x = ... pi/2, 3pi/2, ....

• x = ... 0, pi, 2pi, ....

• There are no vertical asymptotes.

• x = infinity, x = - infinity

What is an asymptote?

• the point where the function crosses the x-axis

• the highest point on the function

• a value which the function approaches, but never touches

• a horizontal line that intersects the function