Paper, Pencil and Textbook Lesson 8.1 Page 399 You need Paper, Pencil and Textbook

The variable f means function

Function - Relations in which each element of the Page 399 Lesson 8.1 Functions Function - Relations in which each element of the domain (x) is paired with exactly on lement of the range (y). one element Study the two charts in the middle of page 399. Notice one is a Function Chart and one is NOT a Function Chart

Function Domain Range x 2 4 5 9 y 1 3 4 7

Function Not a Function Domain Range Domain x 2 5 9 Range y 1 3 4 7 x 2 4 5 9 y 1 3 4 7

Function Non Function

Study Example 1a and 1b

Page 402 10). (10,8) (12,4) (15,15) (9,4) Function or Non Function? Explain

Very top of Page 400 Vertical line test

Function or Non Function?

Function or Non Function? Take the Vertical test

Page 400 Study Example 2 Is this a Funtion or Non Function? Explain

Copy! - input Domain Range x y f(x) f(y) output (results) Example 3 F(x) is the same as X f(y) is the same as y Different words Same meaning Domain x f(x) - Range y f(y) Copy! input output (results)

Equation y = 2x + 3

Equation y = 2x + 3 Function Notation f(x) = 2x + 3

think y = 4x - 7 f(x) = 4x - 7 find f(-6) f(x) = 4x - 7 find f(5) means let x = 5 think y = 4x - 7

Page 402 Slove 19 and 21

f(x) = 3x - 9 think y = 3x - 9 19. f(9) Hint x = 9

f(x) = 3x - 9 think y = 3x - 9 19. f(9) Hint x = 9 f(x) = 3 (9) - 9

Page 402 Problem 21 f(x) = 3x - 9 if f(-15)

Assignment Page 402 10 - 33

copy copy Find f[g(x)] 40. f[g(3)] Page 403 Hint... Start inside () do g(x) then f(x) s If F(x) = 4x - 3 and g(x) = 8x + 2 Find f[g(x)] 40. f[g(3)] copy copy

g(x) = 8 (3) + 2 Find f[g(x)] 40. f[g(3)] Page 403 Hint... Start inside () do g(x) then f(x) s If F(x) = 4x - 3 and g(x) = 8x + 2 Find f[g(x)] 40. f[g(3)] g(x) = 8 (3) + 2

g(x) = 8 (3) + 2 Find f[g(x)] 40. f[g(3)] Page 403 Hint... Start inside () do g(x) then f(x) s If F(x) = 4x - 3 and g(x) = 8x + 2 Find f[g(x)] 40. f[g(3)] g(x) = 8 (3) + 2

g(x) = 8 (3) + 2 Find f[g(x)] 40. f[g(3)] Page 403 Hint... Start inside () do g(x) then f(x) s If F(x) = 4x - 3 and g(x) = 8x + 2 Find f[g(x)] 40. f[g(3)] g(x) = 8 (3) + 2

g(x) = 8 (3) + 2 Find f[g(x)] 40. f[g(3)] Page 403 Hint... Start inside () do g(x) then f(x) s If F(x) = 4x - 3 and g(x) = 8x + 2 Find f[g(x)] 40. f[g(3)] g(x) = 8 (3) + 2

Questions? Assignment Page 402 10 - 33 Page 403 40 - 45

Page 402 10 yes 11 no 12 yes 13 no 14 no 15 yes 16 no 17 yes 18. 27 19. 18 20. -33 21. -54 22. 57 23. 0 24. -21 25. -42 26. 39 27. 74 28. -46 29. -86 30. 124 31. 254 32. -31 33. -66

Page 403 40. 101 41. 138 42. -251 43. 362 44. 165 45. -982