Describe the interval(s)on which the function is continuous.
A) , &
B) , &
C) , &
D) , &
E) , &

Name: Describe the interval(s)on which the function is continuous. A) , & B) , & C) , & D) , & E) , &
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Question

​Describe the interval(s)on which the function  is continuous. ​
A) ​ , & 
B) ​ , & 
C) ​ , & 
D) ​ , & 
E) ​ , &

Quizplus · Accepted Answer

The function is continuous where the denominator is non-zero, which is equivalent to where x ≠ -3, -1, 4. Thus, the interval(s) on which the function is continuous is (−∞,−3)∪(−3,−1)∪(−1,4)∪(4,∞), which corresponds to choice C.

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

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