Precalculus Examples

Find the Domain and Range f(x)=sin(x)
f(x)=sin(x)
Step 1
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(-,)
Set-Builder Notation:
{x|x}
Step 2
The range is the set of all valid y values. Use the graph to find the range.
Interval Notation:
[-1,1]
Set-Builder Notation:
{y|-1y1}
Step 3
Determine the domain and range.
Domain: (-,),{x|x}
Range: [-1,1],{y|-1y1}
Step 4
 [x2  12  π  xdx ]