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Functions By Adrienne Calomino
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
x or input value y or output value ,[object Object],[object Object]
[object Object],[object Object],[object Object],Dog Cat Duck Lion Pig Rabbit 11 10 7 Domain Range
[object Object],Dog Cat Duck Lion Pig Rabbit 11 10 7 Domain Range
[object Object],Dog Cat Duck Lion Pig Rabbit 11 9 10 6 7 5 Domain Range ,[object Object]
Function ,[object Object],[object Object]
Which is a function? Why? Table A Table B Table A Range Domain 7 5 6 4 5 4 5 3 3 2 3 1 2 1 output input Range Domain 8 7 7 6 5 5 5 4 3 3 3 2 2 1 output input
Which is a function? Why? Table A Table B Table A 120 Russian 95 Japan 48 Pakistan 48 France 72 Italy 72 Germany 47 Mexico 61 U.K. 438 China 219 U.S. Million Users Cell phone use by country Russian 120 Japan 95 Pakistan 48 France 48 Italy 72 Germany 72 Mexico 47 U.K. 61 China 438 U.S. 219 Cell phone use by country Million Users
[object Object],Which is a function? Why? { (0,1) (0,-1), (1,2), (2,1), (3,1), (4,1) } { (0,1) (1,-1), (2,2), (-2,1), (3,2), (4,1) } Set A Set B State the domain and range.
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Mapping a function
Why are these functions?  Give an example of an argument of a function. What is the domain and range? Table A Table B f(0) f(-3) f(-2) f(-1) f(3) f(2) f(1) f(x) = 2x Range Domain 0 0 -6 -3 -4 -2 -2 -1 6 3 4 2 2 1 output or f(x) input or x f(0) f(-4) f(4) f(-2) f(2) f(-1) f(1) f(x) = x 2 Range Domain 0 0 16 -4 16 4 4 -2 4 2 1 -1 1 1 output or f(x) input or x
[object Object],[object Object]
[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],B A
Notice that it is OK if two x-values map to the same y-value. However the test has to work for every value of x.
[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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Functions

  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8. Which is a function? Why? Table A Table B Table A Range Domain 7 5 6 4 5 4 5 3 3 2 3 1 2 1 output input Range Domain 8 7 7 6 5 5 5 4 3 3 3 2 2 1 output input
  • 9. Which is a function? Why? Table A Table B Table A 120 Russian 95 Japan 48 Pakistan 48 France 72 Italy 72 Germany 47 Mexico 61 U.K. 438 China 219 U.S. Million Users Cell phone use by country Russian 120 Japan 95 Pakistan 48 France 48 Italy 72 Germany 72 Mexico 47 U.K. 61 China 438 U.S. 219 Cell phone use by country Million Users
  • 10.
  • 11.
  • 12.
  • 14. Why are these functions? Give an example of an argument of a function. What is the domain and range? Table A Table B f(0) f(-3) f(-2) f(-1) f(3) f(2) f(1) f(x) = 2x Range Domain 0 0 -6 -3 -4 -2 -2 -1 6 3 4 2 2 1 output or f(x) input or x f(0) f(-4) f(4) f(-2) f(2) f(-1) f(1) f(x) = x 2 Range Domain 0 0 16 -4 16 4 4 -2 4 2 1 -1 1 1 output or f(x) input or x
  • 15.
  • 16.
  • 17.
  • 18.
  • 19. Notice that it is OK if two x-values map to the same y-value. However the test has to work for every value of x.
  • 20.
  • 21.
  • 22.
  • 23.
  • 24.
  • 25.