Describe the interval(s)on which the function is continuous.
A) and
B) and
C) and
E) none of these choices

Question

Describe the interval(s)on which the function  is continuous. ​
A) and 
B) and 
C) and 
E) none of these choices

Quizplus · Accepted Answer

The function appears to have a vertical asymptote at x = -1, which means we need to consider the intervals around that value. The function is continuous on the intervals immediately to the left and right of x = -1, but not on the interval that includes x = -1 (since the function is undefined there). Therefore, the interval(s) on which the function is continuous are 11ea8970_6983_d04a_861b_999b4aadc40a_TB1301_11 and 11ea8970_6983_d04b_861b_bd7b2de132f7_TB1301_11, which correspond to the intervals just to the left and right of x = -1.

Describe the Interval(s)on Which the Function Is Continuous