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**Topic 4: Building New Functions**

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**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

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**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.

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

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

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

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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?

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Drill Simplify each rational expression:

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

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Section 2.2 More on Functions and Their Graphs. Increasing and Decreasing Functions.

Section 2.2 More on Functions and Their Graphs. Increasing and Decreasing Functions.

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