f(x) is f(x) is Consider the function f(x) = x²-4x + 3 on the interval [0,4]. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval. on [0,4]: on (0,4): f(0) = f(4) = Then by Rolle's theorem, there exists a c such that f'(c) = 0. Find the value c. C =
f(x) is f(x) is Consider the function f(x) = x²-4x + 3 on the interval [0,4]. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval. on [0,4]: on (0,4): f(0) = f(4) = Then by Rolle's theorem, there exists a c such that f'(c) = 0. Find the value c. C =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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![f(x) is
f(x) is
Consider the function f(x) = x² 4x + 3 on the interval [0,4]. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval.
on [0,4];
on (0, 4);
ƒ(0) = f(4) =
=
Then by Rolle's theorem, there exists a c such that f'(c) = 0.
Find the value c.
c =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2812bff8-be43-4d45-9951-77037de40dcd%2Fa294b09b-1a04-4767-9f7e-828070b550e5%2Fe8lrksc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:f(x) is
f(x) is
Consider the function f(x) = x² 4x + 3 on the interval [0,4]. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval.
on [0,4];
on (0, 4);
ƒ(0) = f(4) =
=
Then by Rolle's theorem, there exists a c such that f'(c) = 0.
Find the value c.
c =
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