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) = -x³ + x² + 8x + 3 GLEED OA. 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.) OB. The relative maximum point(s) is/are (Simplify your answer. Type an ordered and there are no relative minimum points. pair, using integers or fractions. Use a comma to separate answers as needed.) OC. 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.). OD. There are no relative minimum points and there are no relative maximum points. Identify any intervals over which the function is increasing or decreasing. Select the correct choice below and fill in the answer box(es) within your choice. OA. The function G(x) is increasing over the interval(s) and decreasing over the interval(s). (Type your answers in interval notation. Use integers or fractions for any numbers in the expressions. Use a comma to separate answers as needed.) OB. The function G(x) is increasing over the interval(s) and is not decreasing anywhere. (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.2: Relative Extrema
Problem 54E: OTHER APPLICATION Attitude Change Social psychologist have found that as the discrepancy between the...
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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) = -x³+x² + 8x +3
1
OA. 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.)
OB. The relative maximum point(s) is/are
(Simplify your answer. Type an ordered
and there are no relative minimum points.
pair, using integers or fractions. Use a comma to separate answers as needed.)
OC. 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.)
OD. There are no relative minimum points and there are no relative maximum points.
Identify any intervals over which the function is increasing or decreasing. Select the correct choice below and fill in the answer box(es) within your choice.
OA. The function G(x) is increasing over the interval(s) and decreasing over the interval(s)
(Type your answers in interval notation. Use integers or fractions for any numbers in the expressions. Use a comma to separate answers as needed.)
OB. The function G(x) is increasing over the interval(s) and is not decreasing anywhere.
(Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
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) = -x³+x² + 8x +3 1 OA. 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.) OB. The relative maximum point(s) is/are (Simplify your answer. Type an ordered and there are no relative minimum points. pair, using integers or fractions. Use a comma to separate answers as needed.) OC. 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.) OD. There are no relative minimum points and there are no relative maximum points. Identify any intervals over which the function is increasing or decreasing. Select the correct choice below and fill in the answer box(es) within your choice. OA. The function G(x) is increasing over the interval(s) and decreasing over the interval(s) (Type your answers in interval notation. Use integers or fractions for any numbers in the expressions. Use a comma to separate answers as needed.) OB. The function G(x) is increasing over the interval(s) and is not decreasing anywhere. (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
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