Q:

If f is a continuous function with odd symmetry and limit as x approaches infinity of f of x equals 6, which of the following statements must be true? the limit as x goes to negative infinity of f of x equals negative 6 There are no vertical asymptotes. The lines y = 6 and y = –6 are horizontal asymptotes. All statements are true. I only II only III only

Accepted Solution

A:
the function has rotational symmetry about the origin ( since it is odd)  and its continuous so there are n vertical asymptotes. There are 2 horizontal asymptoes

Answer is  All statements are true.