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Henrico County Public Schools, Virginia

 
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Module - Exploring Polynomial Functions
Lesson 4 - Roots and Zeros
8 - Inverse Functions and Relations
Objective

The student will be able to find the number and type of zeros of a polynomial function.

 
SOL

AII.6  - The student will recognize the general shape of function (absolute value, square root, cube root, rational, polynomial, exponential, and logarithmic) families and will convert between graphic and symbolic forms of functions. A transformational approach to graphing will be employed. Graphing calculators will be used as a tool to investigate the shapes and behaviors of these functions.

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: Graphing Polynomial Functions Review
Lessons
  1. Notes: Roots and Zeros of Polynomials (ppt)
Videos

 

Explore Learning

 

Geogebra

 

Internet Sites
Tasks

 

Practice
  1. Homework: Roots and Zeros Worksheet #1-9 (pdf)
Assessment
  1. ExamView: Roots and Zeros Quiz
Other

 

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