Question

Tell whether the function represents exponential growth or exponential decay.f (x) = 3 (3)

Answer 1

We can write an exponential function as:

`f(x)=a\cdot b^x`

The value that determines if it corresponds to growth or decay is the coefficient "b": if b is less than 1, the function represents an exponential decay, and if it is bigger than 1 it represents an exponential gorwth.

In this case, f(x) = 3 * (3/4)^x, the value of b is b=3/4 and it is less than 1, so it represents an exponential decay:

Answer: Exponential decay