Library+of+Functions-Target+E-Be+Radical-Guided+Learning

**Target E: Graph the Square Root Function**
We will be graphing the square root function.

math f(x)=\sqrt{x} math

When we graph this function we need to consider what domain we have based on the square root. Since we are graphing within the real numbers, we can only use a domain

math x\geq 0 math

This is because when we take the square root of a negative number we get an answer that is not a real number. Therefore, our domain is restricted to x values that are greater than or equal to zero. We will chose x values which are perfect squares to make our work a bit easier. Know that this is a continuous function, therefore our domain includes all numbers greater than or equal to zero.



Also when we talk about the range, let's look at our y values. They will begin at zero and continue to get larger. Therefore our range will also be similar to the domain: math y\geq 0 math