308 CHAPTER 2 Graphs and Functions 35. (a) 1ƒ + g21-12 (b) 1ƒ - g21-22 (c) 1ƒg2102 (d) a ƒ gb122 36. (a) 1ƒ + g2112 (b) 1ƒ - g2102 (c) 1ƒg21-12 (d) a ƒ gb112 x y –2 –1 2 3 4 –3 1 2 y = f(x) y = g(x) –3 1 3 1 3 x y y = f(x) y = g(x) Use the table to evaluate each expression in parts (a)–(d), if possible. See Example 3(b). (a) 1ƒ + g2122 (b) 1ƒ - g2142 (c) 1ƒg21-22 (d) a ƒ gb102 37. x ƒ1x2 g1x2 -2 0 6 0 5 0 2 7 -2 4 10 5 38. x ƒ1x2 g1x2 -2 -4 2 0 8 -1 2 5 4 4 0 0 39. Use the table in Exercise 37 to complete the following table. x 1ƒ +g2 1x2 1ƒ −g2 1x2 1ƒg2 1x2 A ƒ g B 1x2 -2 0 2 4 40. Use the table in Exercise 38 to complete the following table. x 1ƒ +g2 1x2 1ƒ −g2 1x2 1ƒg2 1x2 A ƒ g B 1x2 -2 0 2 4 41. Concept Check How is the difference quotient related to slope? 42. Concept Check Refer to Figure 93(b). How is the secant line PQ related to the tangent line to a curve at point P? For each function, find (a) ƒ1x + h2, (b) ƒ1x + h2 - ƒ1x2, and (c) ƒ1x + h2 - ƒ1x2 h . See Example 4. 43. ƒ1x2 = 2 - x 44. ƒ1x2 = 1 - x 45. ƒ1x2 = 6x + 2 46. ƒ1x2 = 4x + 11 47. ƒ1x2 = -2x + 5 48. ƒ1x2 = -4x + 2 35.
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