Question

What is the range of the exponential function shown below? F(x) = 11 • (1/3)x

Answer 1

`(0, \infty)`

Explanation:

By definition all the exponential functions of the form

`f (x) = a (b) ^ x`

Where a is the main coefficient and b is the base they have range
`(0, \infty)`

Whenever
`a> 0` and b> 0.

In this case the function is:

`f (x) = 11((1)/(3)) ^ x`

Note that for this function
`a = 11> 0` and
`b =(1)/(3)>0`

Therefor the range is:
`(0, \infty)`