Which function represents exponential growth? f(x)=3x f(x)=x^3 f(x)=x 3 f(x)=3^x

Step-by-step explanation:

Exponential growth is the change that occurs when an original amount is increased by a constant rate over a period of time.

The exponential function is given by y=

, where A is the initial amount , b is the rate of growth and x is the time period.

Therefore, is only function in the given options which is exponential.

Option D is correct.

function represents exponential growth.

Step-by-step explanation:

An exponential function is given by:

       ....[1]

where, a is the initial value, b is the base of the exponent function and  x is the time period.

If b > 1, then it is exponential growth function.

If 0<b< 1, then it is exponential decay function.

From the given options:

Consider  

On comparing with [1] we have

a = 1 and b = 3 > 1

By definition we have;

⇒  is an exponential growth function.

step-by-step explanation:

dong do iy iys a scram

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