Find any relative extrema of the function. List each extremum along with the x-value at which it occurs. Identify intervals over which the function is increasing and over which it is decreasing. Then sketch a graph of the function. F(x) = - 4-2x Describe any relative extrema. Select the correct choice below and, if necessary, fill in the answer box(es) to within your choice. O A. The relative maximum point(s) is/are and there are no relative minimum points. (Simplify your answer. Type an ordered pair, using integers or fractions. Use a comma to separate answers as needed.) O B. The relative minimum point(s) is/are and there are no relative maximum points. (Simplify your answer. Type an ordered pair, using integers or fractions. Use a comma to separate answers as needed.) O C. The relative minimum point(s) is/are and the relative maximum point(s) is/are . (Simplify your answers. Type ordered pairs, using integers or fractions. Use comma to separate answers as needed.) OD. There are no relative minimum points and there are no relative maximum points.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3.1.9

Find any relative extrema of the function. List each extremum along with the x-value at which it occurs. Identify intervals over which the function is increasing and over which it is decreasing. Then sketch a graph of the function.
F(x) = - 4-2x3
Describe any relative extrema. Select the correct choice below and, if necessary, fill in the answer box(es) to within your choice.
O A. The relative maximum point(s) is/are
(Simplify your answer. Type an ordered pair, using integers or fractions. Use a comma to separate answers as needed.)
and there are no relative minimum points.
O B. The relative minimum point(s) is/are
and there are no relative maximum points.
(Simplify your answer. Type an ordered pair, using integers or fractions. Use a comma to separate answers as needed.)
O C. The relative minimum point(s) is/are and the relative maximum point(s) is/are.
(Simplify your answers. Type ordered pairs, using integers or fractions. Use a comma to separate answers as needed.)
O D. There are no relative minimum points and there are no relative maximum points.
Transcribed Image Text:Find any relative extrema of the function. List each extremum along with the x-value at which it occurs. Identify intervals over which the function is increasing and over which it is decreasing. Then sketch a graph of the function. F(x) = - 4-2x3 Describe any relative extrema. Select the correct choice below and, if necessary, fill in the answer box(es) to within your choice. O A. The relative maximum point(s) is/are (Simplify your answer. Type an ordered pair, using integers or fractions. Use a comma to separate answers as needed.) and there are no relative minimum points. O B. The relative minimum point(s) is/are and there are no relative maximum points. (Simplify your answer. Type an ordered pair, using integers or fractions. Use a comma to separate answers as needed.) O C. The relative minimum point(s) is/are and the relative maximum point(s) is/are. (Simplify your answers. Type ordered pairs, using integers or fractions. 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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