Provide an appropriate response.
-Determine the x-values, if any, at which the function is discontinuous.
A) 1
B) -1, 0, 1
C) -1, 1
D) None

Question

Provide an appropriate response.
-Determine the x-values, if any, at which the function is discontinuous. 
A) 1 
B) -1, 0, 1 
C) -1, 1 
D) None

Quizplus · Accepted Answer

A function is discontinuous if it has a "break" or "jump" in its graph. Looking at the function in the question, we see that it has a denominator that can equal 0, which would make the function undefined. That happens when x = -1 or x = 1. Therefore, the function is discontinuous at x = -1 and x = 1. Based on the given function, there is a vertical asymptote at x=-1 and a hole at x=1. Therefore, the function is discontinuous at x=-1 and x=1. The choice that includes both of these x-values is C.

Provide an Appropriate Response