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Average Rate of Change

Average Rate of Change. Rate of Change. Ratio describing how one quantity changes as another quantity changes Slope can be used to describe it. Rate of Change. Positive – increases over time Negative – decreases over time. Rate of Change.

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Average Rate of Change

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  1. Average Rate of Change

  2. Rate of Change • Ratio describing how one quantity changes as another quantity changes • Slope can be used to describe it

  3. Rate of Change • Positive – increases over time • Negative – decreases over time

  4. Rate of Change • Linear functions have a constant rate of change, meaning values increase or decrease at the SAME rate over a period of time

  5. Rate of Change • Horizontal lines have 0 rate of change • Vertical lines have undefined rate of change

  6. Slope Formula

  7. Using the Slope Formula • Find the slope between the two given points: (2, 3) ( 4, -7)

  8. Using the Slope Formula • Find the slope between the two given points: (1, -4) ( 5, -6)

  9. Average Rate of Changeusing function notation

  10. Ex 3 Find the Average Rate of Change f(x) = -4x + 10 from [-1, 3]. m = -4

  11. Ex 1 Find the Average Rate of Change f(x) = 2x2 – 3 from [2, 4].

  12. Ex 2 Find the Average Rate of Change f(x) = 3x – 2 from [2, 5].

  13. Ex 4 Find the Average Rate of Change A. Find the rate of change from day 1 to 2. m = 11 B. Find the rate of change from day 2 to 5.

  14. Ex 5 Find the Average Rate of Change In 2008, about 66 million U.S. households had both landline phones & cell phones. Find the rate of change from 2008 – 2011. m = -5 What does this mean? It decreased 5 million households per year from 2008 – 11.

  15. Homework Rate of Change #1, 2 a, b, c, 3, 5, 6 problems

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