What value(s) of c (if any) satisfy the conclusion of the Mean Value Theorem for the function f(x) = x²-2 on the interval [0,2]? (a) 0, 2– 3 (b) 0 (c) 4 (d)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 52E
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What value(s) of c (if any) satisfy the conclusion of the Mean Value Theorem for the function f(x) = x²-2 on the
interval [0,2]?
(a) 0, 2–
3
(b) 0
(c) 4
(d)
Transcribed Image Text:What value(s) of c (if any) satisfy the conclusion of the Mean Value Theorem for the function f(x) = x²-2 on the interval [0,2]? (a) 0, 2– 3 (b) 0 (c) 4 (d)
Expert Solution
Step 1

f(x) = x3-2

f(0) = -2

f(2) = 6

Mean slope = {f(2) - f(0)}/(2-0) = (6-(-2))/2 = 4

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