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Functions and Absolute Value

Unit One Test Review. Functions and Absolute Value. For 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

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Functions and Absolute Value

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  1. Unit One Test Review Functions and Absolute Value

  2. For 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. Domain and Range

  4. Find the domain

  5. Find the domain

  6. Find the domain

  7. Find the domain and range

  8. Find the domain and range

  9. Function Operations

  10. f(x) = 3x – 5 g(x) = -2x + 1 • Find f(x) – g(x)

  11. f(x) =x²+ 1 g(x) = x – 5 • Find f(g(x))

  12. f(x) = 3x – 5 g(x) = -2x + 1 • Find g(f(-3))

  13. f(x) = 3x – 5 g(x) = -2x + 1 • Find f(x) g(x)

  14. f(x) =x²+ 1 g(x) = x – 5 • Find g(f(x))

  15. Inverse Functions

  16. Verify that the two functions are inverses F(x) = 0.5x + 4 F -1(x) = 2x – 8

  17. Find the inverse Function y = x2 + 4

  18. Find the inverse Function y = 3x +7

  19. Find the inverse Function y = -2x + 6

  20. Graphing Absolute Value

  21. Find the Vertex Point y = -2|x – 4| + 5

  22. Find the Vertex Point y = 3|2x + 6| - 1

  23. Describe the Transformations y = -|x + 3| - 8

  24. Graph the function y = 2|x + 4| - 7

  25. Graph the Function y = -|x – 1| + 5

  26. Solving Absolute Value

  27. Solve the equation 7 = 2|x – 3| + 1

  28. Solve the equation 4x + 3 = |2x – 3|

  29. Graph the solution to the inequality 2|x – 6| < 20

  30. Graph the solution to the Inequality |2x – 8| > x + 5

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