Question

Which functions is an exponential growth function?​

Answer 1

Hello!

The answer is:

The correct answer is:

A)
`y=((4)/(3))^(x)`

Why?

To identify which of the given functions is an exponential growth function, we need to remember the form of the exponenial growth or decay functions.

We can define the exponential growth or decay function by the following way:

`P(x)=y=StartValue*(rate)^(x)`

Where,

P(x) or y, is the function

Start value is the starting amount or value

Rate, is the growth or decay rate

x, is the variable (time)

Now, we can identify if the function is a exponential growth or decay function by the following way:

If
`rate>1` the function is an exponential growth function.

If
`rate<1` the function is an exponential decay function.

Now, we are given the function first function, A)

`y=((4)/(3))^(x)`

Where,

`rate=(4)/(3)=1.33`

and we have that:

`rate>1\\1.33>1`

So, the function is an exponential growth function.

Hence, the correct answer is:

A)
`y=((4)/(3))^(x)`

Have a nice day!

Answer 2

OPTION A

Explanation:

The exponential growth functions has the following form:

`y=a(b)^x`

Where "a" is the principal coefficient and "b" is the base greater than 1.

To know which of the functions shown has exponential growth, identify which one has a base greater than 1.

`(4)/(3)=1.33>1`

Therefore, the exponential growth function is the function shown in the option A.