Question: 12. A function f, continuous everywhere and twice-differentiable for x # A, satisfies f(- 5+) = B, f(0) = 1, f (5-) = C,

12. A function f, continuous everywhere and twice-differentiable for x # A,

12. A function f, continuous everywhere and twice-differentiable for x # A, satisfies f(- 5+) = B, f(0) = 1, f (5-) = C, f(A) = 0 The line y = 2x-1 is a slant asymptote as x limx A f'(x) = f'(x) > 0 for x < 0, and for x>1 and x A; f'(x) < 0 for 0 A. 4 (a) Sketch the graph of f (b) Find constants a, b, c, d for which following is true. The function f(x) Vax + bx + cx+d satisfies the conditions above for suitable real numbers A, B, C. =

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