Question

How do you determine if the equation `y = 30(2^x)` represents exponential growth or decay?

Answer 1

The eqn. represents Exponential Growth.

Explanation:

The eqn. represents exponential growth. This is since the Exponential fun. `2^x` is an increasing fun., i.e., to say that as `x` increases, so does `f(x)=2^x` and hence, `y=30*2^x`.

In general, an Exponential Fun. `F(x)=a^x, x in RR` is increasing fun., if `a>1` and is decreasing if `a in (0,1).`

In case, this is helpful, the pleasure all mine! Enjoy Maths.!