Use the graph of y =f'(x) to the right to discuss the graph of y = f(x). Organize your conclusions in a table, and sketch a possible graph of y = f(x). -10 Determine how the properties on different intervals of f'(x) affect f(x). Complete the table below. f'(x) f(x) - 00

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 17CT
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Sketch the graph of f(x). Choose the correct graph below.
OA.
В.
С.
D.
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10
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Transcribed Image Text:Sketch the graph of f(x). Choose the correct graph below. OA. В. С. D. 10- 10- 10- 10- 10 10 -10 10 10 10 -10 10 10- 110-
Use the graph of y = f'(x) to the right to discuss the graph of y = f(x). Organize your conclusions in a table, and sketch a possible graph of y = f(x).
Ay
10-
-10
10
Determine how the properties on different intervals of f'(x) affect f(x). Complete the table below.
f'(x)
f(x)
- 00 <x< - 3 Negative and increasing
Decreasing and concave upward
X = - 3
Local maximum
Inflection point
- 3<x<0
Positive
and increasing
Decreasing and concave upward
x = 0
Inflection point
Inflection point
0<x<3
Negative and decreasing
Increasing
and concave upward
X= 3
Local minimum
Inflection point
3<x< 0
Positive
and decreasing
Increasing
and concave downward
Transcribed Image Text:Use the graph of y = f'(x) to the right to discuss the graph of y = f(x). Organize your conclusions in a table, and sketch a possible graph of y = f(x). Ay 10- -10 10 Determine how the properties on different intervals of f'(x) affect f(x). Complete the table below. f'(x) f(x) - 00 <x< - 3 Negative and increasing Decreasing and concave upward X = - 3 Local maximum Inflection point - 3<x<0 Positive and increasing Decreasing and concave upward x = 0 Inflection point Inflection point 0<x<3 Negative and decreasing Increasing and concave upward X= 3 Local minimum Inflection point 3<x< 0 Positive and decreasing Increasing and concave downward
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