# How do you graph #y=3(4)^x# and state the domain and range?

##### 1 Answer

See explanation below

#### Explanation:

Exponential function is a useful a easy to graph, to describe and many process in nature follow a function like this.

First, note that

Second: applying this rule

The domain is obviously

By other hand, if we imagine that x grows, the value

But if

There is no x-intercept and only a point y-intercept which is y=3

With this information we plot our function that has an apparience like this

graph{y=3(4^x) [-6.59, 5.884, -0.756, 5.49]}