If f is continuous on (-∞, ∞), what can you say about its graph? (select all that apply.)
The graph of f has a hole.
The graph of f has a jump.
The graph of f has a vertical asymptote.
None of these

Solution:

Given that f is continuous in (-∞, ∞)

A graph will have a hole/jump/break only if the function is discontinuous. It is given that f is a continuous function. A continuous function is not necessary to have vertical asymptotes.

For example, if we consider y = x³ which is continuous in (-∞, ∞) does not contain any vertical asymptotes whereas when we consider y = tan x it is continuous in its domain and has vertical asymptotes at all odd multiples of π/2.

Therefore, the answer is none of the above.

If f is continuous on (-∞, ∞), what can you say about its graph? (select all that apply.)

Summary:

If f is continuous on (-∞, ∞) it indicates that it doesn't have vertical asymptotes or holes or any jump discontinuity anywhere.