2. 12.2 Functions and Graphs

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

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

5. Is y = x² a function? Is x = y 2 a function? No, because x = 9 is equal to both 3 and –3.

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

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

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

9. Is this a graph of a function?

14. 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 )

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

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

17. Find the domain of Domain is all real numbers

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

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

20. Graph and State Domain and Range Domain is horizontal coverage Range is vertical coverage

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

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

23. Find the range of xy 0 2 4 -2 -4 -6 Range is { y | y  0 } xy 02 24 46 -20 -42 -64

24. xy 0 2 4 -2 -4 -6 Find the range of xy 0 21 43 -21 -43 -65 Range is { y | y  -1 }

25. Assignment Page 545 (2-10 even and 11-31all)