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2.) Thinking of the graph of this function, should you connect the dots? Why or why not?

Warm UP!. 8/19/09. The table shows the pay d (in dollars) as a function of the number of hours worked h . 1.) Complete the table of values and graph using the equation: . 2.) Thinking of the graph of this function, should you connect the dots? Why or why not?.

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2.) Thinking of the graph of this function, should you connect the dots? Why or why not?

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  1. Warm UP! 8/19/09 The table shows the pay d (in dollars) as a function of the number of hours worked h. 1.) Complete the table of values and graph using the equation: 2.) Thinking of the graph of this function, should you connect the dots? Why or why not? 3.) How much money was made after working 4 hours? Express your answer in function notation. 4.) Would it be reasonable to expect 40 hours to have $280 earned? Why or why not?

  2. The x-values that can be plugged into the function The y-values that can be plugged into the function The highest point on the graph (in a particular interval) The lowest point on the graph (in a particular interval) The point(s) where the graph crosses the x-axis (x-intercept) The point(s) where the graph crosses the y-axis

  3. The point(s) where the graph crosses the x-axis (zero) The interval where a graph is increasing (like climbing a hill) The interval where a graph is decreasing (like going down a hill) The direction the end of the graph is pointing. The head and tail of a graph. The basic functions used as building blocks for more complicated functions.

  4. Parent Graphs Thoughts on Parenthood….. Your children need your presence more than your presents.  ~Jesse Jackson Parents often talk about the younger generation as if they didn't have anything to do with it.  ~Haim Ginott What’s this have to do with math??????

  5. Parent Graphs/Parent Functions absolute value quadratic linear square root cubic rational

  6. Square root Which parent am I related to? _____________________

  7. Quadratic Which parent am I related to? _____________________

  8. Cubic Which parent am I related to? _____________________

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

  10. 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!

  11. Intervals of increase and decrease

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

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

  14. End Behavior

  15. Practice Domain Domain

  16. Practice Domain Domain

  17. Practice Domain Domain

  18. Practice List the Domain. Domain

  19. Practice List the Domain.

  20. Practice List the Domain.

  21. y = f(x) (2,4) (4,0) (-1,-5) What is the domain? Choose the best answer

  22. Ex. 2 Find the domain of

  23. Practice List the Range. Range

  24. Practice List the Range. Range

  25. Practice List the Range.

  26. Range Range

  27. Practice List the Range.

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

  29. Ex. 2 Find the range of

  30. 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?

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

  32. Homie-work! Complete the “Function Families Proper Notation” sheet.

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