Answer the question. Show ALL your steps in your calculations. Answer in complete sentences. 8 (x)=2r²-50 x²+8x+15 2x²–50 Holes : 8 (x) = If there is the same factor in the numerator and denominator, then 2²-50 1+8x+15 2(x+5Xx¬5) (a+5Xx+3) 10 - there is hole. common factor is (x + 5) hole is at x = -5 Domain : Asymptotes : 8 (x) = -0O ²+8+15 2(x-5) g(x) = 2x²-50 r*+8x+15 2(x+5{x-5) (x+5Xx+3) 2x²-50 +S+3a+15 2(r²-25) (x+3) 8 (x) = (a+5K+3) denominator is zero at x = -3 2-5) +3) Vertical asymptoe : x = -3 g (x) = g (x) = 8 (x) is defined at all values except x = -3 2x²-50 x²+8x+15 Therefore, Domain is (-0∞, –3) U (-3, o0) Range : If we look at the graph of g(x), function is taking all values except y = 2 Therfore, range of g(x) is (-0,2) U (2, 0). lim (1+÷+4) Horizontal asymptote : y = 2 y = lim Find the following analyses of the function: Fill out the following chart by using the Vertical asymptotes and hole x values for the interval: X f(x) f(x) f'(x)

Answer the question. Show ALL your steps in your calculations. Answer in complete sentences. 8 (x)=2r²-50 x²+8x+15 2x²–50 Holes : 8 (x) = If there is the same factor in the numerator and denominator, then 2²-50 1+8x+15 2(x+5Xx¬5) (a+5Xx+3) 10 - there is hole. common factor is (x + 5) hole is at x = -5 Domain : Asymptotes : 8 (x) = -0O ²+8+15 2(x-5) g(x) = 2x²-50 r*+8x+15 2(x+5{x-5) (x+5Xx+3) 2x²-50 +S+3a+15 2(r²-25) (x+3) 8 (x) = (a+5K+3) denominator is zero at x = -3 2-5) +3) Vertical asymptoe : x = -3 g (x) = g (x) = 8 (x) is defined at all values except x = -3 2x²-50 x²+8x+15 Therefore, Domain is (-0∞, –3) U (-3, o0) Range : If we look at the graph of g(x), function is taking all values except y = 2 Therfore, range of g(x) is (-0,2) U (2, 0). lim (1+÷+4) Horizontal asymptote : y = 2 y = lim Find the following analyses of the function: Fill out the following chart by using the Vertical asymptotes and hole x values for the interval: X f(x) f(x) f'(x)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter8: Polynomials

Section8.7: Factoring Special Products

Problem 60PFA

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