Graphing Polynomials (1 of 2)

Graphing Polynomials (1 of 2)

Part 1: I teach through examples how to take a polynomial from factored form and find the x-intercepts, the degree, and leading coefficient; determine the end behavior of the graph based on the degree and leading coefficient and then graph the polynomial utilizing how the graph will behave at single roots (go right through), double roots (be tangent to the x axis or bounce), and triple roots (slow down but still cross).

Part 2: We do the exact opposite of part 1: write polynomial functions given the graph. Based on the graph or key characteristics about the graph, we write functions taking into account x-intercepts, and behavior at the x-intercepts (single, double, or triple roots).

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