Answer:
The range of a function is the set of its possible output values. For example, for the function f(x)=x2 on the domain of all real numbers (x∈R), the range is the non-negative real numbers, which can be written as f(x)≥0 (or [0,∞) using interval notation).
Overall, the steps for algebraically finding the range of a function are:
Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
Find the domain of g(y), and this will be the range of f(x).
If you can't seem to solve for x, then try graphing the function to find the range.
