Graphing arccos(x) functions
A step by step tutorial on graphing and sketching arccos(x) functions and also the domain and range of these functions and other properties are discussed.

A table of values of arccos(x) can made as follows:
Example 1: Find the domain and range of y = arccos(x  1) and graph it.
Solution to Example 1:
The value of x is calculated from the value of x  1. For example when x  1 = 1, solve for x to find x = 0 and so on. The domain is given by the interval [0,2] and the range is given by the interval [0,π] The three points will now be used to graph y = arccos(x  1). Example 2: Find the domain and range of y = 2 arccos(x + 1) and graph it.
Solution to Example 2:
We use the 3 key points in the table as follows, then find the value 2 arccos(x + 1) and x.
domain = [2,0] , range = [0 , 2 π] Example 3: Find the domain and range of y =  arccos(x  1) and graph it.
Solution to Example 3:
We use the 3 key points in the table as follows, then find the value  arccos(x  1) and x.
domain = [0 , 2] , range = [ π , 0] More references and links on Graphing Functions 