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Henrico County Public Schools, Virginia

 
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Module - Exploring Polynomial Functions
Lesson 3 - Graphing Polynomial Functions
8 - Inverse Functions and Relations
Objective

The student will be able to graph polynomial functions.

Graphs of Polynomials

The sliders on the left will change the values of a, b, c, d, e, and f. The check boxes on the right will allow you to hide or show each type of polynomial so you can look at them one at a time, they also show which values will affect the graph.

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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

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  1. ExamView: Remainder and Factor Theorems Review
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Assessment
  1. ExamView: Graphing Polynomial Functions Quiz
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