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## 7.1 Polynomial Functions

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**7.1 Polynomial Functions**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? Even 1 Real Zeros Odd 3 Real Zeros Odd 3 Real Zeros