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)=13+8x+x² Describe any relative extrema. Select the correct choice below and, if necessary, fill in the answer box(es) to within your choice. and there are no relative maximum points. pair, using integers or fractions. Use a comma to separate answers as needed.) OA. The relative minimum point(s) is/are (Simplify your answer. Type an ordered OB. The relative minimum point(s) is/are (Simplify your answers. Type ordered OC. The relative maximum point(s) is/are and the relative maximum point(s) is/are pairs, using integers or fractions. Use a comma to separate answers as needed.) 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. and decreasing over the interval(s). or fractions for any numbers in the expressions. Use a comma to separate answers as needed.) and is not increasing anywhere. OA. The function g(x) is increasing over the interval(s) (Type your answers in interval notation. Use integers OB. The function g(x) is decreasing over the interval(s) (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) 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.) Choose the correct graph below. OA. OB. OC. Q Q Q OD. Q Q

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 31PPS
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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) = 13+8x+x²
C
Describe any relative extrema. Select the correct choice below and, if necessary, fill in the answer box(es) to within your choice.
and there are no relative maximum points.
O A. The relative minimum point(s) is/are
(Simplify your answer. Type an ordered
O B. The relative minimum point(s) is/are
(Simplify your answers. Type ordered
pair, using integers or fractions. Use a comma to separate answers as needed.)
and the relative maximum point(s) is/are
pairs, using integers or fractions. Use a comma to separate answers as needed.)
and there are no relative minimum points.
O C.
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.)
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.
O A. The function g(x) is increasing over the interval(s)
(Type your answers in interval notation. Use integers
and decreasing over the interval(s)
or fractions for any numbers in the expressions. Use a comma to separate answers as needed.)
OB.
and is not increasing anywhere.
The function g(x) is decreasing over the interval(s)
(Type your answer in interval notation. Use integers fractions for any numbers in the expression. Use a comma to separate answers as needed.)
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.)
Choose the correct graph below.
O A.
O B.
O C.
O
G
O D.
Q
Q
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) = 13+8x+x² C Describe any relative extrema. Select the correct choice below and, if necessary, fill in the answer box(es) to within your choice. and there are no relative maximum points. O A. The relative minimum point(s) is/are (Simplify your answer. Type an ordered O B. The relative minimum point(s) is/are (Simplify your answers. Type ordered pair, using integers or fractions. Use a comma to separate answers as needed.) and the relative maximum point(s) is/are pairs, using integers or fractions. Use a comma to separate answers as needed.) and there are no relative minimum points. O C. 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.) 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. O A. The function g(x) is increasing over the interval(s) (Type your answers in interval notation. Use integers and decreasing over the interval(s) or fractions for any numbers in the expressions. Use a comma to separate answers as needed.) OB. and is not increasing anywhere. The function g(x) is decreasing over the interval(s) (Type your answer in interval notation. Use integers fractions for any numbers in the expression. Use a comma to separate answers as needed.) 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.) Choose the correct graph below. O A. O B. O C. O G O D. Q Q
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