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Objectives The student will be able to: 1.  To determine if a relation is a function. 2.  To find the value of a function. SOL: A.7aef Designed by Skip Tyler, Varina High School
Functions ,[object Object],f ( x ) x y
Function Notation Output Input Name of Function
Determine whether each relation is a function. 1. {(2, 3), (3, 0), (5, 2), (4, 3)} YES, every domain is different! f ( x ) 2 3 f ( x ) 3 0 f ( x ) 5 2 f ( x ) 4 3
Determine whether the relation is a function. 2.  {(4, 1), (5, 2), (5, 3), (6, 6), (1, 9)} NO,  5 is paired with 2 numbers! f ( x ) 4 1 f ( x ) 5 2 f ( x ) 5 3 f ( x ) 6 6 f ( x ) 1 9
Is this relation a function? {(1,3), (2,3), (3,3)} ,[object Object],[object Object],Answer Now
Vertical Line Test (pencil test) ,[object Object],[object Object],FUNCTION! FUNCTION! NOPE!
Vertical Line Test NO WAY! FUNCTION! FUNCTION! NO!
Is this a graph of a function? ,[object Object],[object Object],Answer Now
Given f(x) = 3x - 2, find: ,[object Object],[object Object],3(3)-2 3 7 3(-2)-2 -2 -8 = 7 = -8
Given  h (z) = z 2  - 4z + 9, find  h (-3) (-3) 2 -4(-3)+9 -3 30 9 + 12 + 9 h(-3) = 30
Given g(x) = x 2  – 2, find g(4) ,[object Object],[object Object],[object Object],[object Object],Answer Now
Given f(x) = 2x + 1, find -4[f(3) – f(1)] ,[object Object],[object Object],[object Object],[object Object],Answer Now

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PPt on Functions

  • 1. Objectives The student will be able to: 1. To determine if a relation is a function. 2. To find the value of a function. SOL: A.7aef Designed by Skip Tyler, Varina High School
  • 2.
  • 3. Function Notation Output Input Name of Function
  • 4. Determine whether each relation is a function. 1. {(2, 3), (3, 0), (5, 2), (4, 3)} YES, every domain is different! f ( x ) 2 3 f ( x ) 3 0 f ( x ) 5 2 f ( x ) 4 3
  • 5. Determine whether the relation is a function. 2. {(4, 1), (5, 2), (5, 3), (6, 6), (1, 9)} NO, 5 is paired with 2 numbers! f ( x ) 4 1 f ( x ) 5 2 f ( x ) 5 3 f ( x ) 6 6 f ( x ) 1 9
  • 6.
  • 7.
  • 8. Vertical Line Test NO WAY! FUNCTION! FUNCTION! NO!
  • 9.
  • 10.
  • 11. Given h (z) = z 2 - 4z + 9, find h (-3) (-3) 2 -4(-3)+9 -3 30 9 + 12 + 9 h(-3) = 30
  • 12.
  • 13.