1. F UNCTIONS AND A BSOLUTE V ALUE Unit One Test Review

2. F OR THE TEST, I NEED TO KNOW HOW TO … Find the domain and range of a function given its graph Perform operations on functions (add, subtract, multiply, divide) Compose two functions Find and verify inverses Graph absolute value functions Solve absolute value equations and inequalities

3. D OMAIN AND R ANGE

4. F IND THE DOMAIN

7. F IND THE DOMAIN AND RANGE

9. F UNCTION O PERATIONS

10. F ( X ) = 3 X – 5 G ( X ) = -2 X + 1  Find f(x) – g(x)

11. F ( X ) = X ²+ 1 G ( X ) = X – 5  Find f(g(x))

12. F ( X ) = 3 X – 5 G ( X ) = -2 X + 1  Find g(f(-3))

13. F ( X ) = 3 X – 5 G ( X ) = -2 X + 1  Find f(x) g(x)

14. F ( X ) = X ²+ 1 G ( X ) = X – 5  Find g(f(x))

15. I NVERSE F UNCTIONS

16. V ERIFY THAT THE TWO FUNCTIONS ARE INVERSES F(x) = 0.5x + 4 F -1 (x) = 2x – 8

17. F IND THE INVERSE F UNCTION y = x 2 + 4

18. F IND THE INVERSE F UNCTION y = 3x +7

19. F IND THE INVERSE F UNCTION y = -2x + 6

20. G RAPHING A BSOLUTE V ALUE

21. F IND THE V ERTEX P OINT y = -2|x – 4| + 5

22. F IND THE V ERTEX P OINT y = 3|2x + 6| - 1

23. D ESCRIBE THE T RANSFORMATIONS y = -|x + 3| - 8

24. G RAPH THE FUNCTION y = 2|x + 4| - 7

25. G RAPH THE F UNCTION y = -|x – 1| + 5

26. S OLVING A BSOLUTE V ALUE

27. S OLVE THE EQUATION 7 = 2|x – 3| + 1

28. S OLVE THE EQUATION 4x + 3 = |2x – 3|

29. G RAPH THE SOLUTION TO THE INEQUALITY 2|x – 6| < 20

30. G RAPH THE SOLUTION TO THE I NEQUALITY |2x – 8| > x + 5