Objectives
Students will use composition of functions to compose linear, quadratic, rational, and radical functions using (a) addition, (b) subtraction, (c) multiplication, (d) division, and (e) substitution.
Additional Web Resources
http://www.mathsisfun.com/sets/functions-composition.html This is great for visual learners!! Pay attention to how one function is put into the other function.
http://www.regentsprep.org/Regents/math/algtrig/ATP7/compositionfunctions.htm Another great visual lesson learners. Great step by step instructions.
http://www.regentsprep.org/Regents/math/algtrig/ATP7/compositionfunctions.htm Another great visual lesson learners. Great step by step instructions.
Lesson Instructional Video
|
During this lesson you need to pay attention to the following topics.
1. Functions f(x) and g(x) 2. Substitution of the function expression for f(x) and g(x) 3. How do you substitute the expression for f(x) and g(x) 4. Make parenthesis around the expression for f(x) and g(x) 5. Pay attention to the comments in the upper right hand corners During this lesson you need to pay attention to the following topics.
1. How the previous video applies to this video 2. Think about how composing rational and radical functions does not change the properties of composing functions, but it does add some extra steps to the problems. What are these extra steps? 3. Pay attention to the comments in the upper right hand corner of each slide. 4. Answer the following questions: a. What must you have when adding or subtracting rational functions? b. What must you do to radical functions either before or after composing the functions? |