Let h be a differentiable function defined on the interval [0, 3], and assume that h(0) = 1, h(1) = 2, and h(3) = 2.  (c) Argue that h(x)=1/4 at some point in the domain. C is the only part of the question I did not understand. A and B I've already solved. Please help

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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 Let h be a differentiable function defined on the interval [0, 3], and assume that h(0) = 1, h(1) = 2, and h(3) = 2.  (c) Argue that h(x)=1/4 at some point in the domain.

C is the only part of the question I did not understand. A and B I've already solved. Please help

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