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

the polynomial function $f(x)$ is graphed below. fill in the form below regarding the features of this graph.\n\nthe degree of $f(x)$ is ___ and the leading coefficient is ___. there are ___ different real zeros and ___.

the polynomial function $f(x)$ is graphed below. fill in the form below regarding the features of this graph.\n\nthe degree of $f(x)$ is ___ and the leading coefficient is ___. there are ___ different real zeros and ___.

Answer

Explanation:

Step1: Determine the degree parity

Both ends of the graph point downwards, indicating an even degree.

Step2: Identify the leading coefficient sign

Since the graph opens downwards as $x \to \pm\infty$, the leading coefficient is negative.

Step3: Count the real zeros

The graph crosses the x-axis at four distinct points.

Step4: Count the relative extrema

The graph has three turning points (two relative maxima and one relative minimum).

Answer:

The degree of $f(x)$ is even and the leading coefficient is negative. There are 4 different real zeros and 3 relative extrema.