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 functionsbuild rational expressions from polynomial expressionsperform operations on rational expressionsdefine rational functionsuse interval notation to describe a part of a graphlearn 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 pointinterval notation.
4 DrillSimplify the following expressions. Factor the following polynomials. (Make a factor/sum table if you don’t know the factors)
5 DrillSimplify the following expression. Factor the following polynomials. (Make a factor/sum table if you don’t know the factors)
6 DrillWrite each of the following using set notation, interval notation and as a graph.
7 DrillUsing 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?