1. MTH 125 Calculus I

2. SECTION 1.5 Inverse Functions

3. Inverse of a Function Definition (p. 37) Note

4. Pictorial Representation

5. Example 1

6. Graphically...

9. Inverses Additional Properties of Inverses The Existence of an Inverse Function (p. 39) A function has an inverse function if and only if it is one-to- one. Thus, graphically it will have to pass the horizontal line test.

10. Example 2

11. Finding the Inverse of a Function

12. Example 3

13. Inverse Trigonometric Functions

14. “Inverting” Trigonometric Functions

15. Formal Definitions

16. Inverse Trigonometric Properties

18. Example 4

19. Example 5

20. Example 6

21. Example 7

22. SECTION 1.6 Exponential & Logarithmic Functions

23. Example 1

24. Exponential & Logaritimic Fnc.’s

25. The Number e and the ln Function

26. Example 2

27. Example 3

28. Example 4

29. Logarithms Properties of (Natural) Logarithms

30. Logarithms (cont.) Properties of (Natural) Logarithms (cont.)

31. Example 5

32. Example 6

33. Example 7