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

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 .

This is the reciprocal of the sine function;

This function is not defined when

This implies that there is a vertical asymptote at because .

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph

noncoplanar points are points that do not lie on the same line.