7.1 Polynomial Functions Evaluate Polynomials

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Presentation transcript:

7.1 Polynomial Functions Evaluate Polynomials Objective: Evaluate Polynomials Identify general shapes of graphs of polynomials

Polynomial Function (in one variable) degree of f(x): highest exponent leading coefficient: the coefficient of the term with the highest degree

Examples: State the degree & leading coefficient

Evaluate a Polynomial Function Find f(6) Find g(3)

Find f(a2) Find f(h+3)

Graphs of Polynomial Functions Constant Function degree = 0 =4 Linear Function degree = 1

Graphs of Polynomial Functions Quadratic Function degree = 2 =4 Cubic Function degree = 3

Graphs of Polynomial Functions Quartic Function degree = 4 Quintic Function degree = 5

End Behavior of EVEN DEGREE Leading Coefficient Positive Leading Coefficient Negative

End Behavior of ODD DEGREE Leading Coefficient Positive Leading Coefficient Negative

Zeros (or Roots) The number of REAL ZEROS a polynomial can be determined by how many times the graph crosses the x-axis.

For each graph, - End Behavior? - Even or Odd? - # of Real Zeros?