Question

Which of the following terms best describes the graph of the exponential function given below?

Answer 1

I think it would be increasing.

Answer 2

The term that best describes the graph of the exponential function is:

A. Increasing

Explanation:

We know that in general a exponential function is given by:

`f(x)=ab^x`

where a>0 is the initial value and b is the growth factor if b>1

and a decay factor if 0<b<1

Also, we know that a growth function is also known as a increasing function and a decay function is a decreasing function.

Here we are given a function as:

`f(x)=4\cdot 5^x`

Here b=5>1

Hence, it is a increasing function.

Also, we may see by the graph of the function.