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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

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Answer:

c. There is a vertical asymptote at x = pie

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

Step-by-step explanation:

The given function is [tex]f(x)=\csc(x)[/tex].

This is the reciprocal of the sine function;

[tex]f(x)=\frac{1}{\sin(x)}[/tex]

This function is not defined when

[tex]sin(x)=0[/tex]

This implies that there is a vertical asymptote at [tex]x=\pi[/tex] because [tex]\sin(\pi)=0[/tex].

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Answer:

c. and d

Step-by-step explanation:

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