# How do you graph, find the intercepts and state the domain and range of #f(x)=1/2(2^x-8)#?

##### 1 Answer

Jul 29, 2018

The x-intercept is

The domain is

#### Explanation:

The function is

The intercepts are

when

The y-intercept is

when

The x-intercept is

The domain is

To find the range, proceed as follows

Taking logs

Therefore,

The range is

See the graph belox

graph{(y-1/2(2^x-8))(y+4)=0 [-14.24, 14.24, -7.12, 7.12]}