Calculus Question

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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Step 1
defined on-3,2
2
f(x)x 3
Consider the given function as
Calculate the derivative of the above function as follows.
d
3
f'(x)
dx
2
d
3 d
(x')
dx
2 dc
(x)
3x2-3x
The critical of the given function obtain by setting f (x)= 0.
3x2-3x 0
3x(x-1)0
3x 0 orx 1= 0
x 0 or x 1
Step 2
The value of f (x) = x -x"
at the critical points is obtained as follows
f(0)-(o0c
f0)-aj0
3
1
2
Thus, the ordered paired are (x,y)-(0,0) and (x,y)
3
x2 at the end points of the interval-3,2 is obtained as
2
The value of f(x) = x
follows
(-3)-(-3)-3)
27
81
-27
2
2
s(2)-(2)2)
12
-2
-8
2
81
-3,
2
Thus, the left end point is x, y) =
and Right end point is (x, y) (2,2)
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