Question

How do you determine if the equation `y = (7)^x` represents exponential growth or decay?

Answer 1

To check if an exponential function is increasing or decreasing you have to look at the base and at a coefficient next to the exponent. See explanation

Explanation:

Let `y=a*b^x` be an exponential function.
It can be:

• Increasing if (`a>0` and `b>1`) or (`a<0` and `b in (0;1)`)
• Decreasing if: (`a>0` and `b in (0;1)`) or (`a<0` and `b>1`)