Question

Which of the following describes the polynomial function ??? HELP

Answer 1

Answer:

B. The function has an even degree.

Step-by-step explanation:

We have been given an image of a polynomial function. We are asked to choose the correct options about our given polynomial.

A. The function has a negative leading coefficient.

Upon looking at our given graph, we can see that it is an upward opening parabola, so leading coefficient can't be negative, therefore, option A is not true.

B. The function has an even degree.

Upon at our given graph, we can see that it is symmetric to y-axis, therefore it has an even degree polynomial and option B is the correct choice..

C. The function has zero turning points.

Upon looking at our given graph, we can see that as function approaches towards 0 from negative infinity it is decreasing. As function increases positive infinity from 0, it is increasing, therefore, our function has a turning point at $x=0$, therefore, option C is incorrect.

D. The function has one x-intercept.

Since our function never intersects x-axis, therefore, function has no x-intercept and option D is incorrect as well.