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Unit 8: Function Investigations

Unit 8: Function Investigations. Test 4/19. LG 8-1: Characteristics LG 8-2: Transformations LG 8-3 Operations. Types of Parent Graphs. absolute value. quadratic. linear. square root. cubic. rational. Types of Parent Graphs. Natural logarithmic. exponential. Sine. secant.

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Unit 8: Function Investigations

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  1. Unit 8: Function Investigations Test 4/19 LG 8-1: Characteristics LG 8-2: Transformations LG 8-3 Operations

  2. Types of Parent Graphs absolute value quadratic linear square root cubic rational

  3. Types of Parent Graphs Natural logarithmic exponential Sine secant arcsine Cube root

  4. Domain and Range

  5. y = f(x) (2,4) (4,0) (-1,-5) What is the domain of f(x)?

  6. What is the range of f(x)? y = f(x) (2,4) (4,0) (-1,-5)

  7. Practice List the Domain and range. Domain Range

  8. Practice List the Domain and range.

  9. Domain and Range

  10. Find the domain and range of

  11. Practice Find the Domain and range.

  12. X-intercepts and Zeros Always expressed as an ordered pair!

  13. Minimum- The lowest point in a particular section of a graph The highest point in a particular section of a graph Maximum- It’s where the graph CHANGES directions!

  14. Intervals of increase and decrease

  15. Increasing and decreasing are stated in terms of domain increasing increasing decreasing (-1,2) (1,-2)

  16. Ex. 4c Increasing and decreasing are stated in terms of domain increasing constant decreasing (0, 1) (2, 1)

  17. End Behavior What are the “left end” and the “right end” of the function doing? Always written like: As

  18. Important Points! How do we determine the domain of a function (by looking at it’s graph)? How about the range? What is a zero? How do you find it? What is a y-intercept? How do you find it? What is a max value? What is a min value?

  19. Determine the characteristics: Parent Function:Domain:Range:Max or min:y-intercept: x-intercepts/zeros: Interval of increase: Interval of decrease:End Behavior:

  20. Determine the characteristics: Parent Function:Domain:Range:Max or min:y-intercept: x-intercepts/zeros: Interval of increase: Interval of decrease:End Behavior:

  21. Determine the characteristics: Parent Function:Domain:Range:Max or min:y-intercept: x-intercepts/zeros: Interval of increase: Interval of decrease:End Behavior:

  22. Determine the characteristics: Parent Function:Domain:Range:Max or min:y-intercept: x-intercepts/zeros: Interval of increase: Interval of decrease:End Behavior:

  23. Class Work • Determine the characteristics of your function. Turn it in when you are finished.

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