Question

How do you determine whether each function represents exponential growth or decay `y=10(3.5)^x`?

Answer 1

In `y=10(3.5)^x`, as `a>0` and `b>1`, we have exponential growth.

Explanation:

In a function `y=a*b^x`,

if `a>0` and `b` lies between `0` and `1` i.e. `0<b<1`,

it is exponential decay.

and if `a>0` and `b` is greater than `1` i.e. `b>1`,

it is exponential growth.

Here in `y=10(3.5)^x`, as `a>0` and `b>1`, we have exponential growth.