# How do you find the domain and range of #f(x) = 3(1/2)^x#?

##### 1 Answer

Dec 12, 2017

Domain:

Range:

#### Explanation:

We can first sketch the function to enable us to determine the domain and range:

graph{3*(1/2)^x [-9.16, 10.84, -2.12, 7.88]}

I am assuming you are aware of how to sketch this function

Now we can consider the domain:

The fucntion is defined for all values of

Now we can find the range:

We see that there is a asymptote at

But then