1. 7.1 Polynomial Functions Evaluate Polynomials
Objective:
Evaluate Polynomials
Identify general shapes of graphs of polynomials

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

3. Examples:
State the degree & leading coefficient

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

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

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

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

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

9. End Behavior of EVEN DEGREE
Leading Coefficient Positive
Leading Coefficient Negative

10. End Behavior of ODD DEGREE
Leading Coefficient Positive
Leading Coefficient Negative

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

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