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

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