Answered: For the following function, a) give…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 35E

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Question

For the following function, a) give the coordinates of any critical points and classify each point as a relative maximum, a relative minimum, or neither; b) identify intervals where the function is increasing or decreasing; c) give the coordinates of any points of inflection; d) identify intervals where the function is concave up or concave down, and e) sketch the graph.

k(x)=6x^4+32x^3

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

The relative minimum point(s) is/are

enter your response here

and the relative maximum point(s) is/are

enter your response here.

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

The relative maximum point(s) is/are

enter your response here

and there are no relative minimum point(s).

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

The relative minimum point(s) is/are

enter your response here

and there are no relative maximum point(s).

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

There are no relative minimum points and there are no relative maximum points.

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