Sketch the graph of the following function. List the coordinates of where extrema or points of inflection occur. State where the function is increasing or decreasing, as well as where it is concave up or concave down. ff (x)equals=x cubed minus 12 xx3−12

I’m trying to study for my Calculus course and I need some help to understand this question.

Sketch the graph of the following function. List the coordinates of where extrema or points of inflection occur. State where the function is increasing or decreasing, as well as where it is concave up or concave down.

ff(x)equals=x cubed minus 12 xx312x

What are the coordinates of the relative extrema? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

The coordinates of the relative extrema are nothing.

(Simplify your answer. Type an ordered pair. Type an exact answer using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)

There are no relative extrema.

What are the coordinates of the inflection points? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

The coordinates of the inflection points are nothing.

(Simplify your answer. Type an ordered pair. Type an exact answer using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)

There are no inflection points.

On what interval(s) is f increasing or decreasing?

The function f is increasing on left parenthesis negative 2 comma 2 right parenthesis(2,2).

The function f is decreasing on

left parenthesis negative infinity comma negative 2 right parenthesis(,2)

and

left parenthesis 2 comma infinity right parenthesis(2,).

The function f is increasing on left parenthesis 0 comma infinity right parenthesis(0,).

The function f is decreasing on

left parenthesis negative infinity comma 0 right parenthesis(,0).

The function f is increasing on left parenthesis negative infinity comma 0 right parenthesis(,0).

The function f is decreasing on

left parenthesis 0 comma infinity right parenthesis(0,).

The function f is never increasing. The function f is decreasing on (minusinfinity,infinity).

The function f is increasing on left parenthesis negative infinity comma negative 2 right parenthesis(,2)

and

left parenthesis 2 comma infinity right parenthesis(2,).

The function f is decreasing on

left parenthesis negative 2 comma 2 right parenthesis(2,2).

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