Question

Which is the graph of f(x) = one-fourth(4)x?

Answer 1

The image shows the graph for given function.

Explanation:

We are given the following information in the question:

`f(x) = \displaystyle(1)/(4)4^x`

It is clear function is an exponential function and have shape similar to exponential function.

An exponential function is of the form:

`f(x) = b^x`,

where b is a parameter of the function and read as b raised to the power x.

The exponential function enjoys the following properties:

• If 0 < b < 1, then the graph decreases as we move from left to right.
• If b > 1, then the graph will increase as we move from left to right.