The range of a function is the set of all possible output values (y-values) that the function can produce. It is determined by evaluating the function over its domain.
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The range depends on the behavior and type of the function, such as linear, quadratic, or exponential.
To find the range, analyze the function's formula and consider any restrictions or asymptotes.
Graphing a function can help visually determine its range by observing the vertical extent of the graph.
$f(x) = \sqrt{x}$ has a range of $[0, \infty)$ because square roots cannot produce negative numbers.
$f(x) = \frac{1}{x}$ has a range of $(-\infty, 0) \cup (0, \infty)$ because it never reaches zero.