A rational function is a function that looks like a fraction and has a variable in the denominator.
These functions are rational functions:
The domain of a function consists of the numbers we are allowed to use for the variable in that function. So with rational functions, if there is a number that will cause the denominator of the function to be equal to zero, we need to exclude it from our domain.
Find the domain of f(x)=
We do not want the denominator of this function to ever equal zero.
The only time this would happen is when x=2.
The domain is "all x not equal to 2".
The range is a bit trickier. In general, you have to graph the function and find the range from the picture.
Determine the domain of the given function:
To use interval notation
: Write -i to get the symbol
and write i to get the symbol