Rational Functions Project        Algebra 2 Honors

 

 

You will create a project that describes and demonstrates the rational functions we have studied.  You will create your own "equations " of rational functions. Project may be in the form of a poster or a scrapbook.

 

DUE DATE:  Monday, March 16, 2015 (Late projects will be accepted - grade 30 points off)

 

Guidelines

Draw  following Rational Functions

Cover

Parent Function/bold solid line/.

Draw Horizontal and Vertical asymptotes of the transforemed function/ bold dashed line/.

Table of values of  the parent function.

Write down the domain( interval notation), range(interval notation), discontinuity for x=, increasing or/and decreasing/interval notation/, all asymptotes/vertical , horizontal/, end behavior, x-intercepts, y-intercepts, calculations, graphs(precision of graphing will be graded). All asymptotes and intercepts should be marked on the graphs.

First transformed function

Draw the Parent Function.

Draw Horizontal and Vertical asymptotes of the transforemed function/dashed line/.

A Rational function - shifted right or left, up or down.

Table of values of  the transfored function.

Write down the domain( interval notation), range(interval notation), discontinuity, increasing or/and decreasing(interval notation), all asymptotes/vertical , horizontal/, end behavior, x-intercepts, y-intercepts, calculations, graphs(precision of graphing will be graded). All asymptotes and intercepts should be marked on the graphs.

Use interval notation. /Write the equation  of a rational function in a standard form and a factor form.

Second transformed function/different than first/

Draw the Parent Function/ solid line-pencil or light color marker/.

Draw Horizontal and Vertical asymptotes of the transforemed function/bold dashed line/.

A Rational function - shifted right or left, up or down, vertically streched.

Table of values of  the transfored function.

Write down the domain( interval notation), range(interval notation), discontinuity, increasing or/and decreasing, all asymptotes/vertical , horizontal/, end behavior x-intercepts, y-intercepts, calculations, graphs(precision of graphing will be graded). All asymptotes and intercepts should be marked on the graphs.

 Write the equation  of a rational function in a standard form and a factor form.

 

Third transformed function.

Draw the Parent Function/solid line -pencil or light marker/.

Draw Horizontal and Vertical asymptotes of the transforemed function/bold dashed line/.

A Rational Function - shifted right or left, up or down, reflected over x-axis/first or second function can be reflected/.

Table of values of  the transfored function.

Write down  the domain( interval notation), range(interval notation), discontinuity, increasing or/and decreasing(interval notation), all asymptotes/vertical , horizontal/, end behavior, x-intercepts, y-intercepts, calculations, graphs(precision of graphing will be graded). All asymptotes and intercepts should be marked on the graphs. Write the equation  of a rational function in  standard form and factor form.

 

Forth transformed function.

Draw the Parent Function/use pencil or light color marker- solid line/.

Draw Horizontal and Vertical asymptotes of the transforemed function/bold dashed line/.

A Rational Function/bold solid line/ - function with a hole in the graph.

Table of values of  the transfored function.

Write down  the domain( interval notation), range(interval notation), discontinuity, increasing or/and decreasing(interval notation), all asymptotes/vertical , horizontal/, end behavior, x-intercepts, y-intercepts, calculations, graphs(precision of graphing will be graded). All asymptotes and intercepts should be marked on the graphs. Write the equation  of a rational function in standard form and factor form.

Fifth transformed function.

Draw the Parent Function/use pencil or light marker/.

Draw Horizontal and Vertical asymptotes of the transforemed function/bold dashed line/.

A Rational Function/bold solid line/ - with a slant asymptote.

Table of values of  the transfored function.

Write down  the domain( interval notation), range(interval notation), discontinuity , increasing or/and decreasing(interval notation), all asymptotes/vertical , horizontal/, end behavior, x-intercepts, y-intercepts, calculations, graphs(precision of graphing will be graded). All asymptotes and intercepts should be marked on the graphs. Write the equation  of a rational function in standard form and factor form.

 

Grading - This will be recorded as a test grade for the  MP 3

• Following Directions -10 points
• Creativeness of unique Equation of Rational Function - 10 points
• Mathematical Correctness of Transformations and Descriptions - 50 points
• Visual Appeal (use of color, neatness, etc.) - 30 points

 

 

The project should be in the form of a poster board or a scrapbook.

 If you have questions, please contact Mrs. Kalinowski

Good Luck!