Determine whether the given function is continuous. If it is not, identify where it is discontinuous. You can verify your conclusions by graphing the function with a graphing utility, if one is available.
A)discontinuous at
B)discontinuous at
C)discontinuous at
D)discontinuous at
E)continuous everywhere

Question

Determine whether the given function is continuous. If it is not, identify where it is discontinuous. You can verify your conclusions by graphing the function with a graphing utility, if one is available. ​  ​
A)discontinuous at 
B)discontinuous at 
C)discontinuous at 
D)discontinuous at 
E)continuous everywhere

Quizplus · Accepted Answer

The function is discontinuous at x = -1 and x = 3 because there are vertical asymptotes at those points (the denominators of the fractions approach 0 as x approaches -1 and 3). However, the function is continuous everywhere else.

Determine Whether the Given Function Is Continuous