Question

How do you identify equations as exponential growth, exponential decay, linear growth or linear decay `f(x) = 9.6 ∙ 1.06x`?

Answer 1

See explanation below.

Explanation:

A linear expression has a form of `f(x)=ax+b`. It is an increasing function ("growth" as you call it) if `a>0`, if `a<0` then it is a decreasing function ("decay")

An exponential function has a form of `f(x)=a*b^x`, it is usually defined for `b>0`. Such a function is growth if `a>1` or decay if `a in (0;1)`.

So if you meant to write `f(x)=9.6*1.06x`, then it is a linear growth function.

But if you mean a function like:

`f(x)=9.6*(1.06)^x`,

then it is an exponential function, and it is a growth ftnction, because `1.06>1`