1 / 33

Chapter 2: Functions and Graphs

Chapter 2: Functions and Graphs. PART 2. Increasing & Decreasing Function. Many type of Function. 1. LINEAR FUNCTION. 2. Polynomial. EXAMPLE. 3. Power Function. ii. a=1/n, n is a positive integer. iii. a=-1. 4. Rational Function. 5. Algebraic Function. 6. Trigonometri Function.

wfryar
Download Presentation

Chapter 2: Functions and Graphs

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Chapter 2: Functions and Graphs PART 2

  2. Increasing & Decreasing Function

  3. Many type of Function 1. LINEAR FUNCTION

  4. 2. Polynomial

  5. EXAMPLE

  6. 3. Power Function

  7. ii. a=1/n, n is a positive integer

  8. iii. a=-1

  9. 4. Rational Function

  10. 5. Algebraic Function

  11. 6. Trigonometri Function f(x)=sin x  means the sine of the angle whose radian measure is x

  12. properties

  13. 6. Exponential Function

  14. 7. Logarithmic Function

  15. 8. Trancendental Function •  are functions that are not algebraic •  includes : trigonometric, inverse trigonometric, exponential, logarithmic function

  16. Ex • Classify the following functions as one of the types of functions !

  17. Answer

  18. Transformations of Funstions

  19. Stretching & Reflecting

  20. Combinations of Functions

  21. OPERATIONs On FUNCTIONs • Given skalar real a and function f,g then the definition of the function operation is given by : • (f+g)(x)= f(x) + g(x) • (f-g)(x)=f(x) - g(x) • (af)(x) = a f(x) • (f.g)(x)= f(x)g(x) • (f/g)(x)= f(x)/g(x), g(x)≠0 Each domain function above is the intersection Df and Dg except for f /g

  22. If find the functions f+g, f-g, fg, f/g and the domain

  23. Composite function

  24. Composition Function • Compositon function from function f and g, is denoted by fg thus ; (f g)(x)=f(g(x)) • With domain function :

  25. Ex if Find each function and its domain!

  26. Given :then find :a. f + g , f - g , f .g , and f/ g b. Each the domain function !

  27. One to One Function

  28. Is the function one to one?

  29. Graph!

  30. Inverse Function

  31. Cancellation Law

More Related