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
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 Parent 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