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Author:
Nate Muckley

Learn how to graph square root functions using a table of values.

A powerpoint on the basics of graphing square root functions, and then examples. Be familiar with making a table of values, and properties of square roots.

Tutorial

**The graph of a square root function (y =√x) looks like this: **

**...this packet will show you why, and how to create your own graphs!**

_______________________________________________________________________________________________________________________________________________________

The * DOMAIN *is all of the possible x values

The * RANGE* is all possible y values

I just think of this as where the x or y part of the line is.

*To help remember which one is which (whether domain or range goes to x or y), just think about your friend __ RAY__ and his

For square root functions, both the domain and range will *extend into infinity*, because the line will continue on forever (on graphs, we can only show a portion)

In the basic graph, the *domain* is greater than or equal to 0, and the *range* is also greater than, or equal to 0

Watch out, the beginning will change depending on where the particular graph starts!

One phrase your teacher might use is **Radical Expression.**

A radical expression is everything under the square root symbol.

in the equation

**y = √ (3x + 2)
**

(3x + 2) is the radical expression

Try out this problem:

**y = √ (2x + 16) + 4**

Grab a piece of paper and graph the equation!

(P.S. some easy x-values are: -8, -7.5, -6, -3.5, and 0)