# How do you graph, find the intercepts and state the domain and range of #f(x)=6^x+3#?

##### 1 Answer

May 30, 2017

y-intercept

No x-intercept

domain

range

#### Explanation:

Set

Set

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Set

Take logs of both sides

But ln(-3) is undefined thus there is no x-intercept

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~