Lesson 2- 6: Radical
Functions
Advanced Math Topics
Radical Functions and Equations
A function that has a variable under the
radical is a radical function
To Solve a Radical Equation
1. get the radical by itself.
2. Raise both sides of the equation to the power
necessary to get rid of the radical
3. Solve for x by any method necessary
(this could be simple Algebra, factoring, or the quadratic formula)
4. Check your answers and make sure none of
them give you negative values inside the radical,
if they do we call them extraneous solutions.
Things to Remember
You can only take the even roots of positive
numbers
You can take odd roots of positive and negative
numbers
100
4
4
3
8
3
8
16
 81
Example 1
Solve √x+7 - 1 = x
Example 2
Solve √2x+1 - x = -1
Example 3
Solve
4 x2  3
3
4
Simplifying Radicals
4
(3)
3
(t  5)
3
9
8x
3
Find the Domain and Range and
Graph each Radical
f ( x)  x  1
f ( x)  3 x  2
f ( x)  3 2  x
f ( x)   2 x  4
Homework
Pg 115/ 2-6 even, 12-16 Even, 20-38 Even