1. HW Friday (due Monday):
Pre-Calculus Honors
Zeros of a function
HW Friday (due Monday):
2.2: p.110 (38-44 even, 52, 56, 74, 80,
86-92 even)
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2. Zeros of Polynomial Functions
What are zeros of a function?
A zero of a function f is a number x for which f (x) = 0.
It can be shown that for a polynomial function f of degree n, the following statements are true.
1. The function f has at most n real zeros.
2. The graph of f has at most n – 1 relative extrema (relative minima or maxima).

3. 2.2: Finding Zeros of a Polynomial Function
1. Given the function: f (x) = x3 – x2 – 2x
a.) Find all the real zeros.
b.) Sketch the graph of the function by hand (using knowledge about end behaviors, zeros, y-intercept, and additional points in-between zeros).

4. 2.2: Finding Zeros of a Polynomial Function
2. Given the function: f (x) = 3x4 – 4x3
a.) Find all the real zeros.
b.) Sketch the graph of the function by hand (using knowledge about end behaviors, zeros, y-intercept, and additional points in-between zeros).

5. 2.2: Finding Zeros of a Polynomial Function
3. Given the function: f (x) = -2x3 + 6x2 – 9/2x
a.) Find all the real zeros.
b.) Sketch the graph of the function by hand (using knowledge about end behaviors, zeros, y-intercept, and additional points in-between zeros).

6. 2.2: Finding Zeros of a Polynomial Function
Find a polynomial function that has the given zeros.
1.) 0, -2, )

7. 2.2: Finding Zeros of a Polynomial Function
Find a polynomial function that has the given zeros.
3.) zero: -4, multiplicity: 2
zero: 3, multiplicity: 2

8. HW tomorrow: 2.3: p.126 (88-98 even)
Pre-Calculus Honors
Zeros of a function
HW tomorrow: 2.3: p.126 (88-98 even)
HW assignment #2: 2.3: p.127 ( all)
Copyright © Cengage Learning. All rights reserved.

9. 2.3: Finding Real Zeros of a Polynomial Function
1. Find the real zeros of

10. 2.3: Finding Real Zeros of a Polynomial Function
2. Find the real zeros of

11. 2.2, 2.3: Zeros recap.
What are the methods for finding zeros of a polynomial function?

12. 2.3: Finding Real Zeros of a Polynomial Function
3. Find the real zeros of

13. 2.3: Finding Real Zeros of a Polynomial Function
4. Find the real zeros of

14. 2.3: Finding Real Zeros of a Polynomial Function
5. Find the real zeros of