Graph the function f(x) = x + 4/x Graph the secant line that passes through the points (1,5) and (8,8.5) on the same set of axes Find the number c that satisfies the conclusion of the Mean Value Theorem for f on [1,8] C = Notice that if you graph the tangent line to the point (c,f(c)) it is parallel to the secant line.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 56E
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Graph the function f(x) = x +4/x
Graph the secant line that passes through the points (1,5) and (8,8.5) on the same set of axes
Find the number c that satisfies the conclusion of the Mean Value Theorem for f on [1,8]
C =
Notice that if you graph the tangent line to the point (c,f(c)) it is parallel to the secant line.
Transcribed Image Text:Graph the function f(x) = x +4/x Graph the secant line that passes through the points (1,5) and (8,8.5) on the same set of axes Find the number c that satisfies the conclusion of the Mean Value Theorem for f on [1,8] C = Notice that if you graph the tangent line to the point (c,f(c)) it is parallel to the secant line.
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