# What is the domain and range of #f(x) =e^x#?

##### 1 Answer

Jun 21, 2018

See below.

#### Explanation:

This function is valid for all real

Or in interval notation:

To find the range we observe what happens as

as:

as:

**( i.e if x is negative we have #bb(1/(e^x)#)**

We also observe that

So our range is:

Or

This is confirmed by the graph of

graph{y=e^x [-16.02, 16.01, -8.01, 8.01]}