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) = 3x + 16x 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) is/are and 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 minimum point(s) is/are (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) and there are no relative maximum point(s). O C. The relative maximum point(s) is/are 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.) O D. There are no relative minimum points and there are no relative maximum points.
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) = 3x + 16x 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) is/are and 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 minimum point(s) is/are (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) and there are no relative maximum point(s). O C. The relative maximum point(s) is/are 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.) O D. There are no relative minimum points and there are no relative maximum points.
Chapter3: Functions
Section: Chapter Questions
Problem 30RE: For the following exercises, use the graphs to determine the intervals on which the functions are...
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Transcribed Image Text: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) = 3x + 16x3
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) is/are
and 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 minimum point(s) is/are
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 C. The relative maximum point(s) is/are
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.)
O D. There are no relative minimum points and there are no relative maximum points.
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