Pre-Calculus/Trig 3
Pre-Calculus/Trig 3 Name __________________________________
Analyzing Graphs of Functions
Review: Finding domain and range from a graph:
[pic] [pic] [pic]
Finding Zeros of a Function
Zero of a function –
Double Root:
Example:
Find the zeros of the following functions:
a) [pic] b) [pic] c) [pic]
Polynomial Functions
Degree:
|Degree |Name |
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Polynomial Functions of a Higher Degree
Continuity
Graphs of Polynomial Functions and End Behavior
End Behavior –
Leading Coefficient-
Predicting End Behavior Using The Leading Coefficient Test
1.
2.
3.
4.
Intermediate Value Theorem:
• The IVT can help you locate real zeros of polynomial functions.
Ex: [pic] [pic] [pic]
Increasing and Decreasing Functions
Relative Minimums and Relative Maximums
Relative Max –
Relative Min –
Absolute Max –
Absolute Min -
Calculator Exercises:
1. Find the zeros of the following functions.
a) [pic] b) [pic]
2. Given the function [pic] find any relative mins and maxs. One what interval is the function increasing and/or decreasing?
3. Using the same equation in example #2, find where
a) [pic] b) [pic]
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e
d
a
b
c
f
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