Does the function model exponential growth or decay? g ( x ) = 7 3 ⋅ 2 x g(x)= 3 7 ⋅

Question

asked Jul 24, 2021 140k views

2 Answers

Andile · Answer 1 · 2021-07-31T05:19:41+0000

Answer:

Exponential growth

Explanation:

Assuming the given function is

$g(x) = 7( {3.2})^(x)$

We want to determine whether this function model exponential growth or decay.

For an exponential function

$g(x) = a( {b}^(x) )$

to be a growth function, we must have:

$|b| \: > \: 1$

When we compare with the given function,

$|b| = |3.2| = 3.2 \: > \: 1$

Hence, it is a growth function.