Sketch the graph of the following function and identify all relative extrema, point of inflection and intercepts. Show a summary table. 6. f(x)=x' - 3x f'(x) = 3x² -3 f "(x)= 6x critical numbers: intercepts: y-intercept : x-inerceptst: Possible point of inflection:
Sketch the graph of the following function and identify all relative extrema, point of inflection and intercepts. Show a summary table. 6. f(x)=x' - 3x f'(x) = 3x² -3 f "(x)= 6x critical numbers: intercepts: y-intercept : x-inerceptst: Possible point of inflection:
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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Solve the problem fill the table an trace the graph

Transcribed Image Text:Sketch the graph of the following function and identify all relative extrema, point
of inflection and intercepts. Show a summary table.
6.
f(x) =x' - 3x
f'(x) = 3x² -3 f "(x)= 6x
critical numbers:
intercepts:
y-intercept :
x-inerceptst:
Possible point of inflection:
Intervals:
+/-
+/-
个 Un
f(x)
f (x)
f(x)
Shape of graph
Interval
(-0,-1)
X
x = -1
( -1 , )
x =
x =

Transcribed Image Text:-3
-2
2
-2-
-3-
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