6 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 ponisof inflection; d) identify intervals where the function is concave up or concave down, and e) sketch the graph.4.k(x) = 6x + 8xa) 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.O A. The relative minimum point(s) is/areand the relative maximum point(s) is/are(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.)O B. The relative maximum point(s) is/areand 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 )C. The relative minimum point(s) is/areand 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.)O D. There are no relative minimum points and there are no relative maximum points.b) On what interval(s) is k increasing or decreasing? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.O A. The function is increasing onThe function is decreasing on(Simplify your answers. Type your answers in interval notation. Use a comma to separate answers as needed.)O B. The function is decreasing onThe function is never increasing.(Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.)O C. The function is increasing onThe function is never decreasing.(Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed ) 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 pointsof inflection; d) identify intervals where the function is concave up or concave down, and e) sketch the graph.k(x) = 6x + 8x°(Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.)O D. The function is never increasing or decreasing.c) What are the coordinates of the inflection point(s)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.O A. The coordinates of the inflection point(s) are(Simplify your answer. Type an ordered pair. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)B. There are no inflection points.d) On what interval(s) is k concave up or concave down? Select the correct choice below and fill in the answer box(es) to complete your choice.(Simplify your answer. Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)O A. The function is concave up onand concave down onB. The function is concave down onand is never concave upO C. The function is concave up onand is never concave down.e) Choose the correct graph below.OA.OB.OC.D.

Function is given. We have to calculate relative maximum and minimum Inflection point Concave upward…

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 of inflection; d) identify intervals where the function is concave up or concave down, and e) sketch the graph. k(x) = 6x + 8x 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 O A. The relative minimum point(s) islare and the relative maximum point(s) islare (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) O B. The relative maximum point(s) islare and there are no relative minimum point(s) (Simplity your answer Use integers or fractions for any numbers in the expression. Type an ordered pair Use a comma to separate answers as needed) OC. The relative minimum point(s) islare 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) O D. There are no relative minimum points and there are no relative maximum points b) On what intervals) is k increasing or decreasing? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice O A. The function is increasing on (Simplity your answers Type your answers in interval notation. Use a comma to separate answers as needed) The function is decreasıng on O B. The function is decreasing on (Simplify your answer Type your answer in interval notation Use a comma to separate answers as needed.) The function is never increasing O C. The function is increasing on The function is never decreasing (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.1: Quadratic Functions

Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...