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Warm UP!

=. f(x) = x - 5. Warm UP!. Please place your HOMEWORK on your desk. Consider the function Find the y –intercept Find the slope Then, graph (sketch) the function on the coordinate plane:. b = y-intercept =. -5. 5 3. m = slope =. Homework Questions?. POP QUIZ!.

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Warm UP!

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  1. = f(x) = x - 5 Warm UP! Please place your HOMEWORK on your desk Consider the function Find the y –intercept Find the slope Then, graph (sketch) the function on the coordinate plane: b = y-intercept = -5 5 3 m = slope =

  2. Homework Questions?

  3. POP QUIZ! • Please clear your desk. • You have 15 minutes to complete the quiz • Raise your hand when you finished • NO TALKING UNTIL ALL QUIZZES ARE COLLECTED • Please get out a clean sheet of paper to complete the next slide when you are finished with your quiz

  4. Average Rate of Change Slope

  5. Mt. Rainer Slope • The slope is the steepness of the side of the mountain. • Is it a positive slope or a negative slope?

  6. Positive Rates Do you see any more?

  7. Negative Rates Do you see any more?

  8. Zero Rates Do you see any more?

  9. Undefined Rates Do you see any more?

  10. Average Rate of Change Slope – steepness of a line Steeper line = Bigger slope

  11. Y -Y X - X 2 1 2 1 Formula for Average Rate of ChangeA way to remember which value goes on top. m = Keep the pairs together.

  12. Ex. 1: Find the average rate of change between the points. (A) (-5,4) and (0,3) (B) (-3, 0) and (4, 5)

  13. Ex. 2: Use the graph to find the average rate of change from point B to point A. A = (1,2) and B = (-2, -3) A B

  14. Ex. 2: Use the graph to find the average rate of change from point B to point A. When you can SEE points on a graph… all you have to do is COUNT to find the slope! A B

  15. Find the AROC

  16. Find the AROC

  17. Based on the graph of the following function, what is the greatest rate of increase?

  18. 1.) Describe the graph in terms of increasing/decreasing. 2.) On which interval is the graphed portion of the function increasing or decreasing? 3.) What is the average rate of change from x = 4 to x = 7? 4.) What is the average rate of change from x = -2 to x = 2? 5.) What do you think the average rate of change will be from x = -20 to x = 20?

  19. 1.) Describe the graph in terms of increasing/decreasing. 2.) On which interval is the graphed portion of the function increasing and/or decreasing? 3.) What is the average rate of change from x = 1 to x = 2? 4.) What is the average rate of change from x = 1 to x = 3? 5.) What do you think the average rate of change will be from x = -4 to x = 4?

  20. 1.) Describe the graph in terms of increasing/decreasing. 2.) On which interval or intervals is the graphed portion of the function increasing and/or decreasing? 3.) What is the average rate of change from x = -2 to x = 1? 4.) What is the average rate of change from x = 1 to x = 2? 5.) What do you think the average rate of change will be from x = -3 to x = 2?

  21. Try & Visualize… • Draw the graph of a function that is increasing over interval -4 < x <-2, does not increase or decrease over the interval -2 <x< 2), and decreases rapidly over the interval 2 <x< +∞ • What real-life scenario could represent this function?

  22. Inc: -4 <x< -2 Constant: -2 <x< 2 Dec: 2 <x<

  23. Ticket Out the Door Complete the LG 2 worksheet before you leave (3 questions)

  24. Homework! Complete the “Average Rate of Change” sheet.

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