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. G(x) = x +x? - 5x - 1 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 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 B. The relative maximum point(s) is/are and there are no relative minimum points. (Simplify your answer. Type an ordered pair, using integers 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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3.1.8

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.
G(x) = x° +x? - 5x -1
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 minimum 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 maximum points.
O B. 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 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. G(x) = x° +x? - 5x -1 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 minimum 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 maximum points. O B. 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 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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