Question

The degree of the polynomial function f(x) is 4.

Answer 1

See the graph below

Explanation:

A polynomial function whose degree is 4 is given by the form:

$f(x)=ax^4+bx^3+cx^2+dx+e \\ \\ Or: \\ \\ f(x)=a(x-x_{1})(x-x_{2})(x-x_{3})(x-x_{4}) \\ \\ \\ Where: \\ \\ x_{1},x_{2},x_{3} \ and \ x_{4} \ are \ the \ roots$

Here the roots are:

$x_{1}=-8 \\ \\ x_{2}=-5 \\ \\ x_{3}=1 \\ \\ x_{4}=2$

If we set $a=1$ then:

$f(x)=(x+8)(x+5)(x-1)(x-2)$

Finally, by using graphing tool we get the graph of our polynomial function:

Learn more:

Parabola: brainly.com/question/10618210

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