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. gix) =x - 6x + 9x +9 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) 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 C. The relative minimum point(s) is/are and there are no relative maxcimum 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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Chapter3: Functions
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Problem 30RE: For the following exercises, use the graphs to determine the intervals on which the functions are...
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Need help with parts a, b, c, d, and e.
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.
g(x) = x - 6x? + 9x +9
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 maximum 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 minimum point(s).
OC. 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 a
s needed.)
O D. There are no relative minimum points and there are no relative maximum points.
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. g(x) = x - 6x? + 9x +9 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 maximum 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 minimum point(s). OC. 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 a s needed.) O D. There are no relative minimum points and there are no relative maximum points.
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