Warm Up Identify the domain and range of each function.

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Presentation transcript:

Warm Up Identify the domain and range of each function. 1. f(x) = x2 + 2 2. f(x) = 3x3 Use the description to write the quadratic function g based on the parent function f(x) = x2. 3. f is translated 3 units up. 4. f is translated 2 units left.

Objectives Vocabulary Graph radical functions and inequalities. Transform radical functions by changing parameters. Vocabulary radical function square-root function

Radical Functions

The graphs of radical functions can be transformed by using methods similar to those used to transform linear, quadratic, polynomial, and exponential functions. This lesson will focus on transformations of square-root functions.

Example 2: Transforming Square-Root Functions Using the graph of as a guide, describe the transformation and graph the function. f(x) = x g(x) = x + 5

Example 3: Applying Multiple Transformations Using the graph of as a guide, describe the transformation and graph the function f(x)= x

Example 4: Writing Transformed Square-Root Functions

Example 5: Graphing Radical Inequalities Graph the inequality .

Example 5b Graph the inequality. HW: pages 372-375 #24-38 & 44-50even, 39-41, 51-54, 64,66, 73-76