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1. 22M.1.SL.TZ2.4 2x-1 x+1 A function f is defined by f(x) = where x ER, x = -1. The graph of y = f(x) has a vertical asymptote and a horizontal

asymptote. (a) Write down the equation of the vertical asymptote. (b) Write down the equation of the horizontal asymptote. (c) On the set of axes below, sketch the graph of y = f(x). On your sketch, clearly indicate the asymptotes and the position of any points of intersection with the axes. [1] [1]/n(c) On the set of axes below, sketch the graph of y = f(x). On your sketch, clearly indicate the asymptotes and the position of any points of intersection with the axes. -4 -2 6 4 2- 0 -2- T 2x-1 (d) Hence, solve the inequality 0< <2. x+1 ←+ 2 4 6 [3]

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