The function is .

Graph:

Graph the function .

Find the values for which is continuous.

For a function to be continuous, .

From the piece-wise function, .

Find .

Let .

As , approaches to .

.

The above limit is in indeterminate form , hence apply LHospitals rule.

.

Hence .

Hence the function is continuous for all real numbers.

Set of values for which is continuous is .

Graph of the function is

Set of values for which is continuous is .