1. Math 71B 9.2 – Composite and Inverse Functions 1

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3. 3 function composition

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18. 18 inverses

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31. 31 Switch

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35. 35 Graphs and Inverses

36. 36 Graphs and Inverses

37. 37 Graphs and Inverses

38. 38 Graphs and Inverses

39. 39 Graphs and Inverses

40. 40 Graphs and Inverses

41. 41 Graphs and Inverses

42. The _____________________________ is a visual way to determine if a function has an inverse. Ex 5. Do the following graphs have inverses? 42

43. The _____________________________ is a visual way to determine if a function has an inverse. Ex 5. Do the following graphs have inverses? 43 horizontal line test

44. The _____________________________ is a visual way to determine if a function has an inverse. Ex 5. Do the following graphs have inverses? 44 horizontal line test Yes

45. The _____________________________ is a visual way to determine if a function has an inverse. Ex 5. Do the following graphs have inverses? 45 horizontal line test Yes No

46. The _____________________________ is a visual way to determine if a function has an inverse. Ex 5. Do the following graphs have inverses? 46 horizontal line test Yes No

47. The _____________________________ is a visual way to determine if a function has an inverse. Ex 5. Do the following graphs have inverses? 47 horizontal line test Yes No

48. Note: Functions that pass the horizontal line test are called ____________ functions. 48

49. Note: Functions that pass the horizontal line test are called ____________ functions. 49 one-to-one