Unit 3: Algebra: Rational Exponents and Square Root Functions

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Presentation transcript:

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

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

Vocabulary Radical functions include functions of the form and

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

Examples of square root functions

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

Examples of cube root functions

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.

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?

Try these… Guided Practice 6 & 7

Classwork/Homework Page 120: 1-14