Answer:
B) The function has an even degree.
Step-by-step explanation:
As the graphed function is an upward-opening parabola, it will have a positive leading coefficient. (A negative leading coefficient would result in the parabola opening downward).
The degree of a polynomial is determined by the highest power of x. Since the graphed function is a parabola, it is a quadratic function with degree 2. Therefore, the function does have an even degree.
A turning point is a point on its graph where the function changes direction from increasing to decreasing or from decreasing to increasing. In this case the graphed function changes from decreasing to increasing at its vertex (0, 2). Therefore, the function has one turning point.
The x-intercepts are the points at which the graph crosses the x-axis, and since the graphed function does not cross the x-axis, it does not have any x-intercepts.
So, the correct answer is:
- B) The function has an even degree.
