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Given the functions f and g to the right, choose the graph that corresponds to each operation.

y. y. y. y. y. f. g. x. x. x. x. x. I. II. III. IV. Exercise 33. Given the functions f and g to the right, choose the graph that corresponds to each operation. (f + g) ______ (f – g) ______ (g – f) ______ (f  g) ______. I. II. III. IV. V. Exercise 37.

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Given the functions f and g to the right, choose the graph that corresponds to each operation.

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  1. y y y y y f g x x x x x I II III IV Exercise 33 Given the functions f and g to the right, choose the graph that corresponds to each operation. • (f + g) ______ • (f – g) ______ • (g – f) ______ • (f  g) ______

  2. I II III IV V Exercise 37 Given the function f(x) = 2x – 5, Identify the graph which could represent the solution to the following: a) (f + g)(x) if g(x) = b and b > 0 b) (g - f)(x) if g(x) = mx + b and m = 2 c) (g • f)(x) if g(x) = mx + b and m > 0 d) (f + g)(x) if g(x) = ax2 + bx + c a < 0 and b < 0 e) (f • g)(x) if g(x) = b and b , 0 f) (g + f)(x) if g(x) = mx + b and m = -2 g) (g • f)(x) if g(x) = mx + b and m < 0 h) (g - f)(x) if g(x) = mx + b and m > 2 i) (f + g)(x) if g(x) = mx + b and m < -2 j) (f - g)(x) if g(x) = ax2 + bx + c a < 0 and c > 0

  3. I IV II I II III IV III Exercise 38 From the functions defined below, choose the graph that can represent the result of the given operation. HINT! Use values of 1 and -1 for parameters a, b and m to help you. a) f • g f(x) = m1x + b when m1 > 0 and b > 0 g(x) = m2x when m2 < 0 b) f2 • f1 f1(x) = mx + b1 when m > 0 and b1 > 0 f2(x) = b2 when b2 = -b1

  4. I IV II III c) f + g f(x) = ax2 when a > 0 g(x) = b when b > 0

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