A root function is a function that involves the extraction of roots, typically square roots or cube roots, of variables. It is commonly represented as $f(x) = \sqrt[n]{x}$ where $n$ is a positive integer.
5 Must Know Facts For Your Next Test
The domain of the square root function $f(x) = \sqrt{x}$ is $x \geq 0$ because you cannot take the square root of a negative number in real numbers.
The graph of a square root function $f(x) = \sqrt{x}$ starts at the origin (0,0) and increases gradually.
For odd root functions like $f(x) = \sqrt[3]{x}$, the domain includes all real numbers because you can take an odd root of any real number.
Root functions are non-linear; their graphs are curves rather than straight lines.
The inverse function of a square root function $f(x) = \sqrt{x}$ is the squaring function $g(x) = x^2$.
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Related terms
Square Root: A number which produces a specified quantity when multiplied by itself. For example, $\sqrt{4} = 2$.
Cube Root: $\sqrt[3]{x}$ represents a value that when cubed gives x. For example, $\sqrt[3]{8} = 2$.