1. The problem is to understand the square root function and its properties.
2. The square root of a number $x$ is a value $y$ such that $$y^2 = x$$.
3. Important rules:
- The square root function is defined for $x \geq 0$ in the real numbers.
- The principal square root is always non-negative.
4. For example, $$\sqrt{9} = 3$$ because $$3^2 = 9$$.
5. The square root function can be written as $$y = \sqrt{x}$$.
6. This function is increasing and its graph starts at the origin $(0,0)$ and rises slowly to the right.
7. The domain is $[0, \infty)$ and the range is also $[0, \infty)$.
Final answer: The square root function is $$y = \sqrt{x}$$ which gives the non-negative root of $x$ for $x \geq 0$.
Square Root Af4964
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