Math Problem Solver

Part 3 of 4

HW Score: 69.11%, 28.33 of 41 points

Points: 3.5 of 7

Question list

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Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

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Part 1

Sketch the graph of the function. Identify any local extrema and points of inflections.

​f(x)equals2 x cubed plus one half x squared minus 2 x plus 6

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Part 1

What are the coordinates of the relative maxima​ (also called local​ maxima)? Select the correct choice​ and, if​ necessary, fill in the answer box to complete your choice.

A.

left parenthesis negative two thirds comma StartFraction 188 Over 27 EndFraction right parenthesis

​(Simplify your answer. Type an ordered pair. Type integers or simplified fractions. Use a comma to separate answers as​ needed.)

Your answer is correct.B.

There is no maximum.

Part 2

What are the coordinates of the relative minima​ (also called local​ minima)? Select the correct choice​ and, if​ necessary, fill in the answer box to complete your choice.

A.

left parenthesis one half comma StartFraction 43 Over 8 EndFraction right parenthesis

​(Simplify your answer. Type an ordered pair. Type integers or simplified fractions. Use a comma to separate answers as​ needed.)

Your answer is correct.B.

There is no minimum.

Part 3

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

A.

enter your response here

​(Simplify your answer. Type an ordered pair. Type integers or simplified fractions. Use a comma to separate answers as​ needed.)

B.

There are no inflection points.