Consider the given function and the given interval. f(x)=(x-3)², [1,4] (a) Find the average value fave off on the given interval. fave (b) Find c such that fave = f(c). (smaller value) (larger value) CH (c) Sketch the graph off and a rectangle whose area is the same as the area under the graph of f. f(x) f(x) 4 4
Consider the given function and the given interval. f(x)=(x-3)², [1,4] (a) Find the average value fave off on the given interval. fave (b) Find c such that fave = f(c). (smaller value) (larger value) CH (c) Sketch the graph off and a rectangle whose area is the same as the area under the graph of f. f(x) f(x) 4 4
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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Question
![Consider the given function and the given interval.
f(x) = (x - 3)², [1,4]
(a) Find the average value fave off on the given interval.
fave =
(b) Find c such that fave = f(c).
C=
(smaller value)
C =
(larger value)
(c) Sketch the graph off and a rectangle whose area is the same as the area under the graph of f.
f(x)
f(x)
-1
-1
3
2
7
f(x)
3
2
1
1
1
2
2
3
3
4
5
5
X
-1
-1
2
1
f(x)
3
2
1
1
2
2
3
3
4
4
5
10
5
X
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F27af745b-6d4f-4129-9ebf-5574c17547e0%2Fd68122af-f9f6-4299-a8dc-e071a713937f%2Fq905jao_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the given function and the given interval.
f(x) = (x - 3)², [1,4]
(a) Find the average value fave off on the given interval.
fave =
(b) Find c such that fave = f(c).
C=
(smaller value)
C =
(larger value)
(c) Sketch the graph off and a rectangle whose area is the same as the area under the graph of f.
f(x)
f(x)
-1
-1
3
2
7
f(x)
3
2
1
1
1
2
2
3
3
4
5
5
X
-1
-1
2
1
f(x)
3
2
1
1
2
2
3
3
4
4
5
10
5
X
X
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