Question

te the following.a. Estimate the x-intercept(s).b. State whether the leading coefficient is positive or negative.c. Determine whether the polynomial function is cubic or quartic.

Answer 1

As you can see, the graph has three x-intercepts. These are located at:

x=-2 , x=2 , and x=6.

The x-intercept values are all the values above the x-axis where the function cuts

Now, remember that:

Based in this table, if we look at our graph, we notice that:

If

$\begin{gathered} x\to-\infty,f(x)\to+\infty \\ x\to+\infty,f(x)\to-\infty \end{gathered}$

This situation happens when the leading coefficient is negative and the degree of the polynomial is odd. So,

- The leading coefficient is negative.

- The polynomial function is cubic.