# SOLUTION: Please help... Sketch the graph of Arccos x if Cos x has a domain of 0 &#8804; x &#8804; &#960;

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Sketch the graph of Arccos x if Cos x has a domain of 0 ≤ x ≤ π

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here is y = cos^-1x = arccosx and its graph:
open this image:
http://img23.imageshack.us/f/arccos3.gif/

Since {y = cos^-1(x) is the of the function , the function y = cos^-1(x) and .
But, since is , its must be restricted in order that y = cos^-1(x) is a function.
To get the graph of y = cos^-1x, start with a graph of .

 Solved by pluggable solver: PLOT any graph Graphing function :

the of the function to a one-to-one region - typically [, ] is used for cos^ -1x. This leaves the range of the restricted function unchanged as [, ].

Reflect the graph across the line to get the graph of y = cos^-1 x y = arccos x, the black curve at right on the graph above.

Notice that y = cos^-1x has domain [,] and range [, ]. It is strictly decreasing on its entire domain.