1. Honors Precalculus Mrs. Agnew
Graphs of Polynomials
Honors Precalculus
Mrs. Agnew

2. 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

3. 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

4. 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

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

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

7. 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)

8. Homework:
Page 195 – 197
#69, 75, 77, 79, 81
95, 97, 114, 120 (a-e)