Question

How do you graph the function `g( x ) = 4^ { x - 1}`?

Answer 1

`g(x)` has the standard exponential increasing graph of `4^x` scaled by `1/4`

Explanation:

Consider the standard exponential increasing graph of `4^x` below.

graph{4^x [-10, 10, -5, 5]}

Now notice that `g(x) = 4^x xx 4^-1 = 4^x/4`

Thus, `g(x)` has the standard exponential increasing graph of `4^x` scaled by `1/4` as below.

graph{1/4*(4^x) [-10, 10, -5, 5]}