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.

#### Lessons

Radical functions: a function which contains a variable inside a root. For example: $y = \sqrt x$ , $y = {^3}\sqrt{{x - 5}}$
$y = 2{^4}\sqrt{{3x - 8}} + 11$
• 1.
Basic Radical Function: $y = \sqrt x$
a)
Use a table of values, sketch the graph of the function $y = \sqrt x$ .

b)
State the domain and range.

• 2.
i) Describe the transformation(s) that should be applied to the graph of $y = \sqrt x$ in order to obtain the graph of the given radical function.
$y - 2 = \sqrt {x + 3}$
$y = \sqrt { - x}$