Question
Asked Nov 20, 2019
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Verify that the function f(x)= x-3x+2 satisfies the hypotheses of the Mean Value Theorem
6.
on the interval-2, 2. Then find all numbers x=c that satisfy the conclusion of the Mean
Value Theorem
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Verify that the function f(x)= x-3x+2 satisfies the hypotheses of the Mean Value Theorem 6. on the interval-2, 2. Then find all numbers x=c that satisfy the conclusion of the Mean Value Theorem

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Expert Answer

Step 1

Known fact:

The Mean Value Theorem, tells us that if f (x) is differentiable on an
f (b)-f(a)
interval [a,b then 3ce[a,b] such that f'(c)
b-a
The given function is f(x)=x3-3x +2 on the interval [-2,2
help_outline

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The Mean Value Theorem, tells us that if f (x) is differentiable on an f (b)-f(a) interval [a,b then 3ce[a,b] such that f'(c) b-a The given function is f(x)=x3-3x +2 on the interval [-2,2

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Step 2

Differentiate the funct...

f(x)x-3x+2
f(x)3x2-3
Then substitute x for c in above equation
f(e) 3e2-3
And
f(-2)(-2)3(-2)+2
=-8+6+2
0
f(2)(2)-3(2)+2
=8-6+2
help_outline

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f(x)x-3x+2 f(x)3x2-3 Then substitute x for c in above equation f(e) 3e2-3 And f(-2)(-2)3(-2)+2 =-8+6+2 0 f(2)(2)-3(2)+2 =8-6+2

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Math

Calculus