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Chapter 4: Graphing & Inverse Functions

Chapter 4: Graphing & Inverse Functions. Section 4.1 Basic Graphs. periodic function a function that repeats its values in regular intervals. Examine each of the following graphs. Does the graph represent a periodic function?. Yes. Yes. No. Yes. No. No. Yes. No. Yes. amplitude

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Chapter 4: Graphing & Inverse Functions

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  1. Chapter 4:Graphing & Inverse Functions Section 4.1 Basic Graphs

  2. periodic function a function that repeats its values in regular intervals

  3. Examine each of the following graphs. • Does the graph represent • a periodic function?

  4. Yes

  5. Yes

  6. No

  7. Yes

  8. No

  9. No

  10. Yes

  11. No

  12. Yes

  13. amplitude magnitude of change in the oscillating variable If the greatest value of f(x) is M and the least value of f(x) is m, then the amplitude of the graph of f(x) is M m

  14. For trig functions, amplitude is distance to max or min value from the midline. M m

  15. What is the amplitude of the periodic function? 1.75

  16. What is the amplitude of the periodic function? 2

  17. What is the amplitude of the periodic function? 1.5

  18. What is the amplitude of the periodic function? undefined none

  19. period smallest positive distance at which a function repeats For any function f(x), the smallest positive number p for which is called the period of f(x).

  20. What is the period of the periodic function? 6.5

  21. What is the period of the periodic function? p 3

  22. What is the period of the periodic function? 2

  23. What is the period of the periodic function? 1 Look for repeating y-values to determine period…but the period is the length along the x-axis.

  24. Sine Graph: f(q)= sinq q sine

  25. Sine Graph: f(q)= sinq

  26. Sine Graph: f(q)= sinq

  27. Sine Graph: f(q)= sinq

  28. Sine Graph: f(q)= sinq

  29. Sine Graph: f(q)= sinq

  30. Sine Graph: f(q)= sinq

  31. Sine Graph: f(q)= sinq

  32. Sine Graph: y = sinq Graph of one cycle Domain: Range: y-int: Amplitude: Period:

  33. Cosine Graph: f(q)= cosq q cosine

  34. Cosine Graph: f(q)= cosq q cosine

  35. Cosine Graph: f(q)= cosq Graph of one cycle

  36. Cosine Graph: y= cosq Graph of one cycle Domain: Range: y-int: Amplitude: Period:

  37. Tangent Graph: f(q)= tanq q tangent

  38. Tangent Graph: f(q)= tanq

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