# How do you find the domain and range of #f(x)=2-2^x#?

##### 1 Answer

#### Answer:

#### Explanation:

Function

It is always positive.

It is monotonically increasing .

If

If

Therefore, function

It is defined for all real

It is always negative.

It is monotonically decreasing .

If

If

Next step is to add

It has the following properties:

It is defined for all real

It is always less than

It is monotonically decreasing .

If

If

We might suggest to use educational materials on UNIZOR.COM to study functions and their behavior. Exponential functions are explained there in lots of detail.