Author:
Kendra Wheeler

Graphing square root functions by making a table of values.

Identifying domain and range of square root functions

A collection of videos and real life examples on graphing square roots.

Terms and concepts that will help you understand graphing square roots.

Co-author: Laura Kniffin

Tutorial

**Radical expression:** Is an expression that contains a radical, such as a square root, cube root, or other root.

**Radical Fraction:** Contains a radical expression with the independent variable in the radicand. Example -- y= cubed square root 2x and (y = square root of x + 2) are readical functions.

**Square Root Function:** When a radical is a square root

The most basic square root function in the family of all square root functions called the P**arent Square Root Function. **

**The Parent Square Root Function is: y= square root of x**

1.) y = sqrt(x) + 1

2.) y = sqrt(x) + 5

3.) Ocean waves can be shallow water, intermediate depth, or deep waters waves. The speed s (in meters per second) of a shallow water wave can be modeled by the function s = 3.13 sqrt(*d*) where *d* is the depth (in meters) of the water over which the wave is traveling.

a.) Graph the finction and identify its domain and range.

b.) A tsunami is a type of shallow water wave. Suppose a tsunami has a speed of 200 meters per second. Over approximately what depth of water is the tsunami traveling?

A video from Khan Academy explaining graphing square root functions