Question

Which of the following terms best describes the graph of the exponentialfunction given below?f(x) = 4.5%A. DecreasingB. ConstantC. LinearD. Increasing

Answer 1

The given function is:

`f(x)=4\cdot5^x^{}`

This is an exponential function because the variable x is presented as an exponent in the expression.

We are asked to find if the exponential function is decreasing, constant, linear or if it is increasing. To find this, it is useful to look at the graph of the function.

The graph of the given is shown in the following image:

The image shows a part of the graph that represents the function. The red line represents the exponential function and as we can see, this red line is going up: it is increasing.

And thus, the answer is D. Increasing