(1) Consider the graph of function f(x): 14 6. -5 -4 -3 -2 Evaluate: (a) lim f(x) X4" (b) lim f(x) (c) lim f(x) (d) lim f(x) (e) lim f(x) x-2 (f) f(-2) (g) lim f(x) (h) Is f continuous at x =-2? Explain. (2) lim 12 (3) lim (2x3 - 3x? + x) x - 2x2 +3x-5 3-x x2 - 3x -4 (4) lim (5) lim x-4 x2 - 7x +12 3x (6) Consider the function h(x) = %3D X-2 (a) lim h(x) (b) lim h(x) X-+2 (c) lim h(x) X2 (7) Find all vertical asymptotes and horizontal asymptotes (if any) X-3 (a) f(x) = 2x +4 x+3 (b) f(x) = %3! x2-9 (8) Find the derivative f' (x). (You may use derivative properties) (a) f(x) = 12 (b) f(x) = x+3x (c) f(x) = x+ (d) f(x) = 3x- 2x4 (9) The total cost of producing x calculators is given by C(x) = 4000+10x+0.05x2. The revenue from selling x calculators is given by R(x) = 70x-0.006 (a) Determine the Marginal Cost Function (b) Find C(500). Interpret this result (c) Find C'(500). Interpret this result (d) Find the exact cost of producing the 50Ist item (e) Why do we get similar answers for both c) and d)? (Explain the difference between the two methods) %3D %3D

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