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Precalculus: Polynomial, Power, and Rational Functions Classroom ActivitiesDownload
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Crossing the Asymptote

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This lesson involves determining when the graph of a rational function crosses its horizontal asymptote.
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    TI-Nspire™ CX
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    TI-Nspire™ CX CAS
  • TI-Nspire™ Apps for iPad®
  • TI-Nspire™ Navigator™
  • TI-Nspire™
  • TI-Nspire™ CAS
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End Behavior of Polynomial Functions

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Students will use a slider to scroll through the graphs of power functions with a coefficient of positive and negative 1 and determine similarities and differences among the functions. Students will generalize the end-behavior properties of various power functions.
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    TI-Nspire™ CX
  • ax-icon-color-device
    TI-Nspire™ CX CAS
  • TI-Nspire™ Navigator™
  • TI-Nspire™
  • TI-Nspire™ CAS
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Exploring Vertical Asymptotes

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Students will be able to determine the domain of rational functions, use algebraic concepts to determine the vertical asymptotes of a rational function, determine the removable discontinuities of a rational function, and describe the graph of a rational function given the equation.
  • ax-icon-color-device
    TI-Nspire™ CX
  • ax-icon-color-device
    TI-Nspire™ CX CAS
  • TI-Nspire™ Apps for iPad®
  • TI-Nspire™ Navigator™
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Multiplicity of Zeros of Functions

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Students will utilize graphs and equations of five polynomial functions to determine the zeros of the functions and whether the functions cross the x-axis at these zeros or just touch the x-axis at the zeros. Then students will determine the degree of the polynomial functions and the effect the degree has upon the end behavior of the functions.
  • ax-icon-color-device
    TI-Nspire™ CX
  • ax-icon-color-device
    TI-Nspire™ CX CAS
  • TI-Nspire™ Apps for iPad®
  • TI-Nspire™ Navigator™
  • TI-Nspire™
  • TI-Nspire™ CAS
Download3,313
Polynomial_Roller_Coaster

Polynomial Rollercoaster

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This lesson involves finding a cubic regression equation to model a section of roller coaster track.
  • ax-icon-color-device
    TI-Nspire™ CX
  • ax-icon-color-device
    TI-Nspire™ CX CAS
  • TI-Nspire™ Navigator™
  • TI-Nspire™
  • TI-Nspire™ CAS
Download2,783
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Products of Linear Functions

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This lesson involves polynomial functions viewed as a product of linear functions.
  • ax-icon-color-device
    TI-Nspire™ CX
  • ax-icon-color-device
    TI-Nspire™ CX CAS
  • TI-Nspire™ Navigator™
  • TI-Nspire™
  • TI-Nspire™ CAS
Download2,673
Rational_Functions

Rational Functions

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In this activity, you will build a TI-Nspire file that allows you to dynamically examine the rational functions generated by quotients of linear functions.
  • ax-icon-color-device
    TI-Nspire™ CX
  • ax-icon-color-device
    TI-Nspire™ CX CAS
  • TI-Nspire™ Navigator™
  • TI-Nspire™
  • TI-Nspire™ CAS
Download2,827