Practice Range in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
The range of a function is the set of all actual output values that the function can produce for inputs in its domain.
The range is the set of all possible "answers" the function can give — some output values may be unreachable no matter what valid input you choose.
Example 1
easyFind the range of f(x) = x^2 + 1.
Example 2
mediumFind the range of g(x) = \frac{2x + 1}{x - 3} for x \neq 3.
Example 3
easyFind the range of f(x) = -|x| + 4.
Example 4
hardFind the range of f(x) = \frac{x^2 - 4}{x^2 + 1}.