Question

How do you determine if the equation `y = 2(3)^x` represents exponential growth or decay?

Answer 1

`y` represents exponential growth.

Explanation:

`y=2*(3)^x`

Here we have a constant `(2)` scaling a constant `(3)` raised to the power of positive `x`

Since the exponent is positive `x` determines that `y` represents exponential growth for increasing `x`

This can be seen by the graph of `y` below.

graph{2*(3)^x [-10.86, 14.45, -2.73, 9.94]}