Honors Precalculus February 19-20, 2018 Mr. Agnew Graphs of Polynomials Honors Precalculus February 19-20, 2018 Mr. Agnew

Essential Stuff Essential Question Essential Vocabulary How do you graph polynomial functions? Essential Vocabulary Polynomial Zero & Degree of a polynomial End Behavior Intermediate Value Theorem

Zeros & Degree of Polys What is the zero of a polynomial function? Other names for the zeros of a polynomial How could you use the zeros of a polynomial when graphing? Degree of polynomial = largest exponent of variable in polynomial

Polynomial Graphs Polynomial functions are continuous functions No jumps, holes, gaps Smooth curve Recall graphs y = x2 and y = x4 y = x3 and y = x5

End Behavior of Polynomials Description of what happens as x approaches ∞ and -∞. Notation Examples: x  ∞, y  ∞ x  ∞, y  -∞ Determined by highest power of x.

End Behavior of Polynomials Even Degree, Positive Leading Coefficient Even Degree, Negative Leading Coefficient Odd Degree, Positive Leading Coefficient Odd Degree, Negative Leading Coefficient

Graphing Polynomials Steps in Graphing Polynomials Find x-intercepts of polynomial (zeros of polynomial) Find y-intercept End behavior Make table of test points Graph polynomial pg 194 #50 – 60 (Even), 96 – 102 (Even)

Homework Page 195 – 197 #69, 75, 77, 79, 81 95, 97, 114, 118 – 120