An important question about many functions concerns the existence and location of fixed points.  A fixed point of f is a value of x that satisfies the equation f(x) = x.  In other words, it corresponds to a point at which the graph of f intersections the line y = x.  Find all the fixed points of the following function.  Use preliminary analysis and graphing to determine good initial approximations. f(x) = 17x cos x on [0,2] Use comma to separate answers as needed. Round to six decimal places as needed.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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An important question about many functions concerns the existence and location of fixed points.  A fixed point of f is a value of x that satisfies the equation f(x) = x.  In other words, it corresponds to a point at which the graph of f intersections the line y = x.  Find all the fixed points of the following function.  Use preliminary analysis and graphing to determine good initial approximations.

f(x) = 17x cos x on [0,2]

Use comma to separate answers as needed. Round to six decimal places as needed.

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