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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| | |

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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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