Question

Which of the following statements are true about the graph of f(x)= csc x? select all that apply

a. (0,0) is the point on the graph
b. f(x) is defined for all x
c. There is a vertical asymptote at x = pie
d. f(x) is undefined when sin x=0
e. all x-values are included in the domain

Answer 1

c. and d

Explanation:

Answer 2

c. There is a vertical asymptote at x = pie

d. f(x) is undefined when sin x=0

Explanation:

The given function is
`f(x)=\csc(x)`.

This is the reciprocal of the sine function;

`f(x)=(1)/(\sin(x))`

This function is not defined when

`sin(x)=0`

This implies that there is a vertical asymptote at
`x=\pi` because
`\sin(\pi)=0`.