The graph of the rational function f has vertical asymptotes at x = 1 and x...

 

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The graph of the rational function f has vertical asymptotes at x = 1 and x = -3, and horizontal asymptote at y = -3. Its graph also has an x-intercept at (-1,0). The equation for f(x) has one of the five forms shown below. a) Choose the appropriate form for f(x) B. f(x) = C. f(x) = D. f(x) = E. f(x) = a a(x-b) X-C a (x-b)(x-c) a(x-b) (x-c)(x-d) a(x-b)(x-c) (x-d)(x-e) - y = f(x) -8 (-2, 1) -6 -4 2 -6 6 -8- I I 1 I 2 4 6 8 b) Determine the equation of the function f from a), given that its graph passes through the point (-2,1). The graph of the rational function f has vertical asymptotes at x = 1 and x = -3, and horizontal asymptote at y = -3. Its graph also has an x-intercept at (-1,0). The equation for f(x) has one of the five forms shown below. a) Choose the appropriate form for f(x) B. f(x) = C. f(x) = D. f(x) = E. f(x) = a a(x-b) X-C a (x-b)(x-c) a(x-b) (x-c)(x-d) a(x-b)(x-c) (x-d)(x-e) - y = f(x) -8 (-2, 1) -6 -4 2 -6 6 -8- I I 1 I 2 4 6 8 b) Determine the equation of the function f from a), given that its graph passes through the point (-2,1).

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Solution 3 as graph has vertical asymptole ... View the full answer