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. 3 2 G(x)=x³-4x²-16x +4 Describe any relative extrema. Select the correct choice below and, if necessary, fill in the answer box(es) to within your choice. and the relative maximum point(s) is/are O A. The relative minimum point(s) is/are (Simplify your answers. Type ordered OB. The relative minimum point(s) is/are (Simplify your answer. Type an ordered pairs, using integers or fractions. Use a comma to separate answers as needed.) and there are no relative maximum points. pair, using integers or fractions. Use a comma to separate answers as needed.) OC. 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.) 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 decreasing over the interval(s) and is not increasing 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.) OB. The function G(x) is increasing over the interval(s) and decreasing over the interval(s) or fractions for any numbers in the expressions. Use a comma to separate answers as needed.) (Type your answers in interval notation. Use integers OC. 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: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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.
3
2
G(x)=x³-4x²-16x +4
C
and there are no relative maximum points.
pair, using integers or fractions. Use a comma to separate answers as needed.)
Describe any relative extrema. Select the correct choice below and, if necessary, fill in the answer box(es) to within your choice.
and the relative maximum point(s) is/are.
pairs, using integers or fractions. Use a comma to separate answers as needed.)
O A. The relative minimum point(s) is/are
(Simplify your answers. Type ordered
OB. The relative minimum point(s) is/are
(Simplify your answer. Type an ordered
O C. 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 D. 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 decreasing over the interval(s)
and is not increasing 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.)
OB. The function G(x) is increasing over the interval(s) and decreasing over the interval(s).
or fractions for any numbers in the expressions. Use a comma to separate answers as needed.)
(Type your answers in interval notation. Use integers
OC. 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. 3 2 G(x)=x³-4x²-16x +4 C and there are no relative maximum points. pair, using integers or fractions. Use a comma to separate answers as needed.) Describe any relative extrema. Select the correct choice below and, if necessary, fill in the answer box(es) to within your choice. and the relative maximum point(s) is/are. pairs, using integers or fractions. Use a comma to separate answers as needed.) O A. The relative minimum point(s) is/are (Simplify your answers. Type ordered OB. The relative minimum point(s) is/are (Simplify your answer. Type an ordered O C. 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 D. 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 decreasing over the interval(s) and is not increasing 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.) OB. The function G(x) is increasing over the interval(s) and decreasing over the interval(s). or fractions for any numbers in the expressions. Use a comma to separate answers as needed.) (Type your answers in interval notation. Use integers OC. 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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