What the Function?! Graphing Square Root Functions.

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!

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     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 range. The y from Ray's raYnge matches up to the y on the graph.

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