1. Topic 4: Building New Functions

2. Topic 4: Building New Functions
After completing the topic Building new functions, students will be able to :
build polynomial functions from linear and quadratic functions
build rational expressions from polynomial expressions
perform operations on rational expressions
define rational functions
use interval notation to describe a part of a graph
learn about the rate of change and concavity of polynomial functions

3. Topic #4: Word Wall Words
polynomial expression,
polynomial function,
rational expression,
rational function,
local maximum,
local minimum,
increasing function,
decreasing function,
concavity,
inflection point
interval notation.

4. Drill
Simplify the following expressions. Factor the following polynomials. (Make a factor/sum table if you don’t know the factors)

5. Drill
Simplify the following expression. Factor the following polynomials. (Make a factor/sum table if you don’t know the factors)

6. Drill
Write each of the following using set notation, interval notation and as a graph.

7. Drill
Using the graph on the chalkboard, identify the following intervals: 1.) Increasing, decreasing, 2.) concave up, concave down, and 3.) points of inflection and end behavior. What degree (even or odd) is this function? What is the value of the leading coefficient?

8. Drill
Simplify each rational expression:

9. Drill
Adding Subtracting Rational Functions Worksheet #1-3 HW#26 #12, 13 on the back whiteboard