Answer:
Explanation:
We have been given a piece-wise function. We are asked to find the value of possible value of c that will make the function continuous for all x in
.

We know that a piece-wise function is continuous when right hand side limit is equal to left hand side limit.
To find the value of c that will make function continuous, we need to find the value of c at
by equating both side functions as:





Therefore,
will make the function continuous for all x in
.