1. Unit 3: Algebra: Rational Exponents and Square Root Functions
3.3 – Graph Square Root and Cube Root Functions

2. Georgia Performance Standards
MM3A2d
Solve a variety of types of equations by appropriate means choosing among mental calculation, pencil and paper, or appropriate technology.

3. Vocabulary
Radical functions include functions of the form and

4. Example 1: graph a square root function
Graph , and state the domain and range. Compare the graph with the graph of
What should I do?!?!
Make a table (Can be any x values)
Plot the points! (Ordered pairs)
Compare graphs!
(You will have to functions on one graph!) x 1 2 3 4 y
2.83
3.46

5. Examples of square root functions

6. Example 2: graph a cube root function
Graph , and state the domain and range. Compare the graph with the graph of
What should I do?!?!
Make a table (Can be any x values)
Plot the points! (Ordered pairs)
Compare graphs!
(You will have to functions on one graph!) x -2 -1 1 2 y
-0.42
-0.33
0.33
0.42

7. Examples of cube root functions

8. Solve a multi-step problem
The period of a pendulum can be modeled by where l is the length of the pendulum in feet.
Use a graphing calculator to graph the model.
Find the length of a pendulum that has a period of 2 seconds.
*Use the trace feature to find the x-coordinate when y =2. The graph shows x ≈2.234.
A pendulum with a period of 2 seconds is about 2.23 feet long.

9. Graph a translated radical function
Graph Then state the domain and range.
What to think about:
Make a table
What are the shifts?
(Left or Right, Up or Down)
What is the domain and range?

10. Try these…
Guided Practice 6 & 7

11. Classwork/Homework
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