It is always so much easier to tell the domain and range of a function from its graph. In this lesson, we will learn how to graph out a radical function by using a table of value and transformations.
Radical functions: a function which contains a variable inside a root.
For example: y=x , y=3x−5 y=243x−8+11
Basic Radical Function: y=x
Use a table of values, sketch the graph of the function y=x .
State the domain and range.
Transformations of Radical Functions
For each radical function,
i) Describe the transformation(s) that should be applied to the graph of y=x in order to obtain the graph of the given radical function.
ii) Write the "Coordinate Mapping Formula", then sketch the graph.
iii) State the domain and range.