Question

The figure at the right shows the graph of the polynomial function f(x). Which of the following could be the degree of f(x)?

A) 2, B) 3, C) 4, D) 5

Short answer

The possible degree of $f\left(x\right)$ is 4.

Step-by-step solution

Step 1. Given

Given graph is:

Step 2. To determine

We have to determine the degree of the polynomial function $f\left(x\right)$.

Step 3. Calculation

From the graph,

It goes upwards both on the left and the right side.

Since it goes to the same side on both ends, so it is an even-degree polynomial function.

In the option only 4 is the even number. So, the possible degree of $f\left(x\right)$ is 4.