3.3_Polynomials.in.Factored.Form

3.3_Polynomials.in.Factored.Form - in Factored Form Family...

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MHF 4U0 3.3 Characteristics of Polynomial Functions in Factored Form For each set of polynomial functions: (a) Sketch the function using the graphing calculator (b) Note of the zeroes, and the shape of the graph as it passes through each zero (c) Note the approximate maximum or minimum points (ie. turning points) using the TRACE function SET A (i) y = x ( x + 2)( x – 2) (ii) y = x 2 ( x + 2)( x – 2) (iii) y = x 3 ( x + 2)( x – 2) SET B (i) y = –x( x + 3)( x – 3) (ii) y = –x 2 ( x + 3)( x – 3) (iii) y = –x 3 ( x + 3)( x – 3) SET C (i) y = x ( x + 2)( x – 2) (ii) y = x ( x + 2) 2 ( x – 2) (iii) y = x ( x + 2) 3 ( x – 2) SET D (i) y = ( x + 1)( x – 1)( x + 2)( x – 2) (ii) y = ( x + 1)( x – 1) 2 ( x + 2) 2 ( x – 2) (iii) y = ( x + 1)( x – 1) 3 ( x + 2) 2 ( x – 2)
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MHF 4U0 3.3 Characteristics of Polynomial Functions
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Unformatted text preview: in Factored Form Family of Polynomial Functions: • A set of polynomial functions whose equations have the same degree and whose graphs have the same characteristics (ie. shape, zeroes (see pg139 at bottom), vertex) Example #1: (a) Determine the family of functions of degree 3 with zeroes 5, –3, and 2. (b) Determine the specific family member which passes through the point (–1, 24). Example #2: (a) Find the roots ( x-intercepts) of the function f(x) = 3 x 3 – 4 x 2 . (b) Sketch the graph of the function on the grid provided. Assigned Work: page 146 #1(pair share), 2b, 3, 4b, 5, 6bcd, 8b, 9ac, 10b, 13b...
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This note was uploaded on 01/14/2012 for the course MAT 107 taught by Professor Sda during the Spring '11 term at Beacon FL.

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3.3_Polynomials.in.Factored.Form - in Factored Form Family...

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