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Objective - To recognize whether a relation is a function and to use function notation Relation - Any set of ordered pairs Function - A type of relation where there  is exactly one output for every input.  For every x there is exactly one y. Not a Function Function x y 1 2 6 7 x y 1 2 6 7
y x -2 -1 0 1 2 -4 -2 0 2 4 y  =  2x input output -2 -1 -4 -2 0 1 0 2 2 4 x-y chart mapping Function
y x -2 -1 0 1 2 2 1 0 1 2 y x -2 -1 0 1 2 2 1 0 1 2 Determine whether the equation is a function. input output -2 -1 0 1 0 1 2 2 input output 0 1 2 -2 -1 0 1 2 Not a Function Function
Vertical Line Test - Functions x y x y x y x y x y x y x y x y Function
Vertical Line Test - Functions x y x y x y x y x y x y x y x y Function Function
Vertical Line Test - Functions x y x y x y x y x y x y x y x y Function Function Not a  Function
Vertical Line Test - Functions x y x y x y x y x y x y x y x y Function Function Not a  Function Function
Vertical Line Test - Functions x y x y x y x y x y x y x y x y Function Function Not a  Function Function Not a  Function Function Not a  Function Not a  Function
Tell whether the relation below is a function. 1)  2)  3)  4)  input output 0 1 5 2 3 y x -3 -3 -3 -3 -1 0 1 2 x y Function Not a  Function Not a  Function input output -2 -1 0 3 4 5 6 Not a  Function
Function Notation
Evaluate the following.
Evaluate the function over the domain, x  =  -1, x  =  0, x  =  2.
Graph the linear function. x -3 -2 -1 0 1 2 3 6 5 4 3 2 1 0 x y

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Ml lesson 4 8

  • 1. Objective - To recognize whether a relation is a function and to use function notation Relation - Any set of ordered pairs Function - A type of relation where there is exactly one output for every input. For every x there is exactly one y. Not a Function Function x y 1 2 6 7 x y 1 2 6 7
  • 2. y x -2 -1 0 1 2 -4 -2 0 2 4 y = 2x input output -2 -1 -4 -2 0 1 0 2 2 4 x-y chart mapping Function
  • 3. y x -2 -1 0 1 2 2 1 0 1 2 y x -2 -1 0 1 2 2 1 0 1 2 Determine whether the equation is a function. input output -2 -1 0 1 0 1 2 2 input output 0 1 2 -2 -1 0 1 2 Not a Function Function
  • 4. Vertical Line Test - Functions x y x y x y x y x y x y x y x y Function
  • 5. Vertical Line Test - Functions x y x y x y x y x y x y x y x y Function Function
  • 6. Vertical Line Test - Functions x y x y x y x y x y x y x y x y Function Function Not a Function
  • 7. Vertical Line Test - Functions x y x y x y x y x y x y x y x y Function Function Not a Function Function
  • 8. Vertical Line Test - Functions x y x y x y x y x y x y x y x y Function Function Not a Function Function Not a Function Function Not a Function Not a Function
  • 9. Tell whether the relation below is a function. 1) 2) 3) 4) input output 0 1 5 2 3 y x -3 -3 -3 -3 -1 0 1 2 x y Function Not a Function Not a Function input output -2 -1 0 3 4 5 6 Not a Function
  • 12. Evaluate the function over the domain, x = -1, x = 0, x = 2.
  • 13. Graph the linear function. x -3 -2 -1 0 1 2 3 6 5 4 3 2 1 0 x y