Question: Problem #1 (4.6) Use the factors (x + 1), (x -1)2, (x -1), (x + 4) to make a rational function of the form 2

Problem #1 (4.6) Use the factors (x + 1), (x -1)2, (x -1), (x + 4) to make a rational function of the form 2 with q(x) vertical asymptotes x=1, x=-4, and an x-intercept of (-1,0). Problem #2 (4.6) For f (x) = - x2-5x+6 (x-2)(x-3) x2-9 (x+3)(x-3) A. State the domain. B. Find an equivalent function. C. Find x-intercepts, if any. D. Find y-intercept, if any. E. Find vertical asymptotes, if any. F. Find horizontal/slant asymptotes, if any. G. Find holes, if any H. Graph the function. Label intercepts, holes, test points and asymptotes. Problem #3 (4.7/4.8) Solve the following equations. A. 2 x-1 -+1= - 72-1 B. x+2 Problem #4 (4.6) Solve the following equation. V2 - x+3=7 Problem #5 (4.7/4.8) Solve the following equation. (2x + 3)4 = (x+ 1)7

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