# Topic 4: Building New Functions

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Topic 4: Building New Functions

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

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.

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

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

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

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?

Drill Simplify each rational expression:

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