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below is the graph of a polynomial function f with real coefficients. use the graph to answer the following questions about f. all local extrema of f are shown in the graph. Edit: PLEASE DOUBLE CHECK THE ANSWERS.

below is the graph of a polynomial function f with real coefficients use the graph to answer the following questions about f all local extrema of f are shown in class=

Respuesta :

From the given graph, we can deduct that

(a) The function is increasing over (-8,-5), (-2,2), and (5, infinite).

(b) The function has a local maximum at x = 2 and x = -5.

(c) The leading coefficient has a positive sign because the function is an opening upside.

(d) According to the given behavior, the function has to have an even degree, specifically, a grade of 6 because there are 5 inflection points, which are always one less than the grade. Hence, the grade is 6.

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