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 [tex]x=0[/tex], 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.
