Which function does not have an asymptote?

Question

(1 point)
Responses

y = sec x
y = sec x

y = cot x
y = cot x

y = csc x
y = csc x

y = cos x
y = cos x

Answer 1

Among the functions listed, the one that does not have an asymptote is:

y = cos x

The cosine function is periodic and oscillates between -1 and 1 without approaching infinity, meaning it does not have vertical or horizontal asymptotes. In contrast, the secant, cotangent, and cosecant functions have asymptotes due to their definitions in relation to sine and cosine.