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Henrico County Public Schools, Virginia

 
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Module - Exploring Polynomial Functions
Lesson 5 - Rational Zero Theorem
8 - Inverse Functions and Relations
Objective

The student will be able to identify all possible zeros of a polynomial function by using the rational zero theorem.

 
SOL


AII.7 a ,b, & f - The student will investigate and analyze functions algebraically and graphically. Key concepts include
a)   domain and range, including limited and discontinuous domains and ranges;
b)   zeros;
c)   x- and y-intercepts;
d)   intervals in which a function is increasing or decreasing;
e)   asymptotes;
f)   end behavior;
g)   inverse of a function; and
h)   composition of multiple functions.
Graphing calculators will be used as a tool to assist in investigation of functions.

AII.8  -  The student will investigate and describe the relationships among solutions of an equation, zeros of a function, x-intercepts of a graph, and factors of a polynomial expression.

Common Core Standards

Warm-up
  1. ExamView: Roots and Zeros Review
Lessons
  1. Notes: Rational Root Theorem (ppt)
Videos

 

Explore Learning

 

Geogebra

 

Internet Sites
Tasks

 

Practice
  1. Homework: Rational Zero Theorem Worksheet #1-7 (pdf)
Assessment
  1. ExamView: Rational Zero Theorem Quiz
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