Question

the polynomial function $f(x)$ is graphed below. fill in the form below regarding the features of this graph.

answer attempt 2 out of 2

the degree of $f(x)$ is odd and the leading coefficient is positive. there are 5 different real zeros and 3 relative maximums.

Explanation:

Step1: Identify degree parity

Observe end behavior: left end down, right end up. This matches odd-degree polynomials.

Step2: Identify leading coefficient sign

Right end rises, so leading coefficient is positive.

Step3: Count real zeros

Count x-axis intersections: the graph crosses/touches the x-axis 5 times, so 5 distinct real zeros.

Step4: Count relative maxima

Count "peaks" on the graph: there are 3 upward-turning (maximum) points.

Answer:

The degree of $f(x)$ is odd and the leading coefficient is positive. There are 5 different real zeros and 3 relative maximums.