459 4.2 Exponential Functions 4.2 Exercises CONCEPT PREVIEWFill in the blank(s) to correctly complete each sentence. 1. If ƒ1x2 = 4x, then ƒ122 = and ƒ1-22 = . 2. If a 71, then the graph of ƒ1x2 = ax from left to right. (rises / falls) 3. If 0 6a 61, then the graph of ƒ1x2 = ax from left to right. (rises / falls) 4. The domain of ƒ1x2 = 4x is and the range is . 5. The graph of ƒ1x2 = 8x passes through the points (-1, ), (0, ), and (1, ). 6. The graph of ƒ1x2 = -A1 3B x+4 - 5 is that of ƒ1x2 = A1 3B x reflected across the -axis, translated to the left units and down units. CONCEPT PREVIEW Solve each equation. Round answers to the nearest hundredth as needed. 7. a 1 4b x = 64 8. x2/3 = 36 9. A = 2000a1 + 0.03 4 b 8142 10. 10,000 = 500011 + r225 For ƒ1x2 = 3x and g1x2 = A1 4B x , find each of the following. Round answers to the nearest thousandth as needed. See Example 1. 11. ƒ122 12. ƒ132 13. ƒ1-22 14. ƒ1-32 15. g122 16. g132 17. g1-22 18. g1-32 19. ƒa 3 2b 20. ƒa5 2b 21. ga 3 2b 22. ga5 2b 23. ƒ12.342 24. ƒ1-1.682 25. g1-1.682 26. g12.342 Graph each function. See Example 2. 27. ƒ1x2 = 3x 28. ƒ1x2 = 4x 29. ƒ1x2 = a 1 3b x 30. ƒ1x2 = a 1 4b x 31. ƒ1x2 = a 3 2b x 32. ƒ1x2 = a 5 3b x 33. ƒ1x2 = a 1 10b -x 34. ƒ1x2 = a 1 6b -x 35. ƒ1x2 = 4-x 36. ƒ1x2 = 10-x 37. ƒ1x2 = 2 x 38. ƒ1x2 = 2- x Graph each function. Give the domain and range. See Example 3. 39. ƒ1x2 = 2x + 1 40. ƒ1x2 = 2x - 4 41. ƒ1x2 = 2x+1 42. ƒ1x2 = 2x-4 43. ƒ1x2 = -2x+2 44. ƒ1x2 = -2x-3 45. ƒ1x2 = 2-x 46. ƒ1x2 = -2-x 47. ƒ1x2 = 2x-1 + 2 48. ƒ1x2 = 2x+3 + 1 49. ƒ1x2 = 2x+2 - 4 50. ƒ1x2 = 2x-3 - 1
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