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The function f(x) = = x³ + 7x² +0x - 16 is graphed below. Plot a line segment connecting the points on f where x = = -6 and x =— -3. Afterwards, determine all values of c which satisfy the conclusion of the Mean Value Theorem for f on the closed interval -6 ≤ x ≤ −3. Plot a line by clicking in two locations. Click the line to delete it. y 100 80 60 40 20 A -10 -8 -6 -4 -2 2 4 6 -20 -40 -60 -80 -100 8 10 X

The function f(x) = = x³ + 7x² +0x - 16 is graphed below. Plot a line segment connecting the points on f where x = = -6 and x =— -3. Afterwards, determine all values of c which satisfy the conclusion of the Mean Value Theorem for f on the closed interval -6 ≤ x ≤ −3. Plot a line by clicking in two locations. Click the line to delete it. y 100 80 60 40 20 A -10 -8 -6 -4 -2 2 4 6 -20 -40 -60 -80 -100 8 10 X

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 4ECP
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The answer is wrong, please plot it for me and tell me the value of C. Thank you so much

The function f(x) = x³ + 7x² + 0x 16 is graphed below. Plot a line segment connecting the points on f where x -6 and x -3. Afterwards, determine all values of c which satisfy the conclusion of the Mean Value Theorem for f on the closed interval −6 ≤ x ≤ −3. Plot a line by clicking in two locations. Click the line to delete it. Answer: -10 -8 {[ 0 -6 -4 -2 100 80 60 40 20 -20 -40 -60 -80 -100 y 14 3 - 2 4 6 8 10 x Submit Answer
Transcribed Image Text:The function f(x) = x³ + 7x² + 0x 16 is graphed below. Plot a line segment connecting the points on f where x -6 and x -3. Afterwards, determine all values of c which satisfy the conclusion of the Mean Value Theorem for f on the closed interval −6 ≤ x ≤ −3. Plot a line by clicking in two locations. Click the line to delete it. Answer: -10 -8 {[ 0 -6 -4 -2 100 80 60 40 20 -20 -40 -60 -80 -100 y 14 3 - 2 4 6 8 10 x Submit Answer
Expert Solution
Step 1

The Mean Value theorem States:

If f(x) is a function such that f is continuous on the closed interval [a,b] and differentiable on the open interval (a,b) then there exists a c in the the interval (a,b) such that f'(c)=f(b)-f(a)b-a.

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