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Which of these relations are functions of x on R

Mentor note: moved to homework section

y = sin(x)
y = cos(x)
y = tan(x)
y = csc(x)
y = sec(x)
y = cot(x)

(a) 0 (b) 4 (c) 6 (d) 2
I thought it was (c) because i graphed all the trig functions and they passed the vertical line test but the answer sheet is saying (d) 2
 
Last edited by a moderator:

pwsnafu

Science Advisor
1,080
85
"on R" is referring to the domain of function being all real numbers. Only sine and cosine satisfy this.
 
"on R" is referring to the domain of function being all real numbers. Only sine and cosine satisfy this.
oh true, thats where i was confused i think then, so is that because the others have vertical asymptotes ?
 

mathwonk

Science Advisor
Homework Helper
10,694
874
no, it is because they are not defined at the x coordinate of the vertical asymptote. but i think that is what you meant.
 
no, it is because they are not defined at the x coordinate of the vertical asymptote. but i think that is what you meant.
yeah thats what i was meaning, thanks
 

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