math_1315_sum08_test_2_sol - 1 2 3 4 5 6 7 8 Total MATH...

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Unformatted text preview: 1 2 3 4 5 6 7 8 Total MATH 1315 Exam 2 Instructor: C. Gunning Name: 1. 10 points Determine polynomial functions of the form: P ( x ) = a ( x- x 1 ) m 1 ( x- x 2 ) m 2 ( x- x k ) m k , to correspond to each of polynomials graphed below. (a) (i) x-intercept ( x- x k ) multiplicity m k-6 ( x + 6) odd (1)-3 ( x + 3) odd (1) +1 ( x- 1) odd (1) +4 ( x- 4) even (2) (ii) End Behavior (from graph): as x , P ( x ) + x n , where n is odd. (iii) Polynomial Function: P ( x ) = ( x + 6)( x + 3)( x- 1)( x- 4) 2 (b) (i) x-intercept ( x- x k ) multiplicity m k-2 ( x + 2) even (2) x odd (1) +1 ( x- 1) even (2) +2 ( x- 2) odd (1) +4 ( x- 4) odd (1) (ii) End Behavior (from graph): as x , P ( x ) - x n , where n is odd. (iii) Polynomial Function: P ( x ) =- x ( x + 2) 2 ( x + 1) 2 ( x- 2)( x- 4) 1 2. 10 points Graph the polynomial function: P ( x ) =- 2 x ( x + 3)( x- 2) 2 (1- x ) , by hand. You must show complete work for credit. Label all intercepts, asymptotes, and other important features. First, lets rearrange the polynomial to tra- ditional form: P ( x ) =- 2 x ( x + 3)( x- 2) 2 (1- x ) P ( x ) =- 2 x ( x + 3)( x- 2) 2 (- 1)( x- 1) P ( x ) = 2 x ( x + 3)( x- 2) 2 ( x- 1) P ( x ) = 2...
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This note was uploaded on 07/30/2008 for the course MATH 1315 taught by Professor Gunning during the Summer '08 term at Central New Mexico Community College.

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math_1315_sum08_test_2_sol - 1 2 3 4 5 6 7 8 Total MATH...

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