Polynomial, Power, and Rational Functions: Precalculus: TI Math Nspired

Precalculus

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Polynomial, Power, and Rational Functions

Activities address algebraic families of functions, including polynomial functions, power functions (of the form y = x^r ) and rational functions (quotients of polynomial functions). In preparation for calculus, limiting behavior is addressed, including end behavior of polynomial functions and asymptotes.

Precalculus: Polynomial, Power, and Rational Functions Activities

Title
End Behavior of Polynomial Functions 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. Standards \| Textbook	2802	15
Multiplicity of Zeros of Functions 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. Standards \| Textbook	2735	11
Products of Linear Functions This lesson involves polynomial functions viewed as a product of linear functions. Standards \| Textbook	2420	10
Rational Functions 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. Standards \| Textbook	2475	10
Exploring Vertical Asymptotes 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. Standards \| Textbook	2736	13
Crossing the Asymptote This lesson involves determining when the graph of a rational function crosses its horizontal asymptote. Standards \| Textbook	2522	11
Polynomial Rollercoaster This lesson involves finding a cubic regression equation to model a section of roller coaster track. Standards \| Textbook	2476	10

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