Chapter MPS, Problem 6.5MPS

(a)

To determine

To Explain: The end behavior of the given graph.

Explanation of Solution

Given:

  

The given graph both ends are on the same side. And since the ends of the graph out to the bottom so, the functions of the graphs are negatively leading coefficients.

(b)

To determine

To Find: The degree of function of given graph.

Answer to Problem 6.5MPS

Even-Degree Function

Explanation of Solution

Given:

  

Concept Used:

If the ends of the graph is on same side then it is even-degree polynomials.

If the ends of the graph are on different side then it is odd-degree polynomials.

The given graph both ends are on the same side so it is even-degree polynomials. And since the ends of the graph out to the bottom so, the functions of the graphs are negatively leading coefficients.

(c)

To determine

To Find: The number of real zeros of the given graph.

Answer to Problem 6.5MPS

Two

Explanation of Solution

Given:

  

Concept Used:

The total number of intercepts on the $x-axis$ is the total number of real zeros of the polynomials.

Since, the total number of intercepts on $x-axis$ is two. So, the number of real zeros are two.