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Graphing absolute value functions unit 1

Learn how to solve real-life problems using linear equations and inequalities, as well as how to graph linear functions using various methods.

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Graphing absolute value functions unit 1

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  1. Graphing absolute value functions unit 1

  2. KEY CONTENT: I can solve a real-life problem by writing and solving an appropriate linear equation and inequality. I can graph a linear function using various graphing methods. https://www.brightstorm.com/math/algebra/absolute-value/shifts-in-absolute-value-graphs/

  3. Absolute value parent function

  4. Guided practiceu1a8 Example 1

  5. Guided practiceu1a8 Example 2

  6. Guided practiceu1a8 Example 3

  7. Guided practiceu1a8 Example 4

  8. Guided practiceu1a8 Example 5

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  10. Guided practiceu1a8 Example 7

  11. Guided practiceu1a8 Example 8

  12. Guided practiceu1a8 Example 9

  13. Guided practiceu1a8 Example 10

  14. Guided practiceu1a8 Example 11

  15. Guided practiceu1a8 Example 12

  16. Independent practice

  17. Independent practice

  18. Independent practice

  19. Independent practice

  20. Guided practiceu1a8 Example 13

  21. Independent practiceu1a8 Example 14

  22. Independent practiceu1a8 Example 14

  23. Independent practiceu1a8 Example 15

  24. Independent practiceu1a8 Example 15

  25. Independent practicEu1a8 Example 16

  26. Independent practicEu1a8 Example 16

  27. Independent practiceu1a8 Example 17

  28. Independent practiceu1a8 Example 17

  29. guided practiceu1a8 Example 18 The front of a camping tent an be modeled by the function, where x and y are measured in feet and the x-axis represents the ground.

  30. guided practiceu1a8 Example 18 Graph the function, on a graphing calculator. Identify and interpret the domain and range of the function in the given context.

  31. guided practiceu1a8 Example 18 Identify and interpret the domain and range of the function in the given context. Domain: The tent is five feet wide. Range: The tent is 3.5 feet tall.

  32. independent practiceu1a8 Example 19 A boy band’s new single is released. Weekly sales s (in thousands) increase steadily for a while and then decrease as given by the function, where t is the time (in weeks). Graph the function on a graphing calculator. What is the maximum number of singles sold in one week?

  33. independent practiceu1a8 Example 19 Graph the function on a graphing calculator. What is the maximum number of singles sold in one week? 40,000 singles

  34. Checking for understanding…u1a8 Example 20 Reflect across the x-axis. Perform the following transformation. Then write a rule for the graph of the function.

  35. Checking for understanding…u1a8 Example 20 Reflect across the x-axis.

  36. Checking for understanding…u1a8 Example 21 Write your response in your notebook. What is the domain and range of the function ? Explain why the range is limited.

  37. Checking for understanding…u1a8 Example 21 What is the domain and range of the function ? Domain: Range: Explain why the range is limited. The range must be equal to or greater than zero because the absolute value of any non-zero number is always positive.

  38. Checking for understanding…u1a8 Example 22 Discuss your answer with a classmate. When writing a function, what is the difference between shifting three units to the right and three units to the left?

  39. Checking for understanding…u1a8 Example 23 Write your response in your notebook. Given the graph of the function is shifted four units to the left, six units upward and reflects across the x-axis, identify the coordinates of the vertex.

  40. Checking for understanding…u1a8 Example 23 Given the graph of the function is shifted four units to the left, six units upward and reflects across the x-axis, identify the coordinates of the vertex. (-4,6)

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