Question

Each of the following functions f,g,h, and h represents the amount of money in a bank account in dollars as a function of time x, in years they are each written in form m(x)= a•b

Answer 1

O f(x) : exponential growth

O g(x); exponential growth

O h(x): exponential growth

O j(x): exponential decay

Step-by-step explanation: I used to do this before :)

Answer 2

f(x) : exponential growth

g(x); exponential growth

h(x): exponential growth

j(x): exponential decay

Explanation:

In an exponential function such as

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

the factor that determines whether it is a growth or decay function depends entirely on the value of b since x cannot be negative

If b > 1, it is a growth function

If b < 1 then it is a decay function

If b = 1 neither growth or decay function values are constant

In this context
f(x) has b = 2 > 1 . Hence it is a growth function
g(x) has b = 3 > 1 hence growth function
h(x) has be = 3/2 > 1; hence growth function
j(x) has be = 0.5 < 1 hence decay function