Sketch the graphs of f(x) = arccos (cos(x)) and g(x)= cos(arccos(x)) on the separate axes below. Explain, in terms of the meaning of the input and output quantities of these functions, why your graphs look as they do. Your graphs should clearly indicate the domain and range of the functions f and g.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
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Sketch the graphs of f(x) = arccos (cos(x)) and g(x)= cos(arccos(x)) on the separate
axes below. Explain, in terms of the meaning of the input and output quantities of these
functions, why your graphs look as they do. Your graphs should clearly indicate the domain
and range of the functions f and g.
 

 

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