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12.2 Functions and Graphs

12.2 Functions and Graphs. F(X) = x+4 where the domain is {-2,-1,0,1,2,3}. To determine if an equation is a function…. Create a (x, y) table. Is y = x² a function?. Is x = y 2 a function?. No, because x = 9 is equal to both 3 and –3. YES. Is y = |x| a function?.

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12.2 Functions and Graphs

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  1. 12.2 Functions and Graphs

  2. F(X) = x+4 where the domain is {-2,-1,0,1,2,3}

  3. To determine if an equation is a function… Create a (x, y) table

  4. Is y = x² a function? Is x = y2 a function? No, because x = 9 is equal to both 3 and –3.

  5. YES Is y = |x| a function? Is x = |y| a function? No, because x = 7 is equal to both 7 and –7.

  6. To determine if a graph is a function… Perform the Vertical Line Test

  7. Is this a graph of a function? Vertical Line Test

  8. Is this a graph of a function?

  9. Is this a graph of a function?

  10. Is this a graph of a function?

  11. Is this a graph of a function?

  12. Is this a graph of a function?

  13. Domain of a Function • X values have to make the value a real number • Watch for 0 in the denominator • Watch for – under the square root (set radicand )

  14. Find the domain of Domain is {x | x  4}

  15. Find the domain of Domain is {x | x  -5}

  16. Find the domain of Domain is all real numbers

  17. Find the domain of Domain is {x | x  4}

  18. Find the domain of Domain is {x | x  7}

  19. Graph and State Domain and Range • Domain is horizontal coverage • Range is vertical coverage

  20. Find the domain of f(x) = 2x + 1 Domain is all real numbers

  21. Find the range of f(x) = 2x + 1 Range is all real numbers

  22. Find the range of Range is { y | y  0 }

  23. Find the range of Range is { y | y  -1 }

  24. AssignmentPage 545(2-10 even and 11-31all)

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