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Warm Up

Tuesday, January 21 st. Warm Up. What is the domain and Range? Where is the graph positive?. EOCT Week 1 Winners . Week 2 EOCT-#1 . To rent a canoe, the cost is $3 for the oars and life preserver, plus $5 an hour for the canoe. Which graph models the cost of renting a canoe? .

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Warm Up

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  1. Tuesday, January 21st Warm Up What is the domain and Range? Where is the graph positive?

  2. EOCT Week 1 Winners

  3. Week 2 EOCT-#1 To rent a canoe, the cost is $3 for the oars and life preserver, plus $5 an hour for the canoe. Which graph models the cost of renting a canoe?

  4. Quiz Scores/Answers

  5. A Look Ahead Tuesday: Rate of Change-Linear Wednesday: Rate of Change-Exponential Thursday: Rate of Change word Problems Friday: Rate of Change word Problems *TEST next Tuesday!

  6. What words do you think of when you think of rate of change?!?

  7. Finding Rate of Change • Tables • Graphs • Equations • Word Problems

  8. Group Discussion How would you describe the DIFFERENCE between the rate of change between: Exponential & Linear Functions

  9. Linear Exponential

  10. ROC Linear Exponential Rate of Change=constant change by MULTIPLICATION Rate of change depends on the interval you are looking at! • Rate of change=CONSTANT CHANGE ADDING OR SUBTRACTING • At any interval the rate of change will be the same!

  11. LINEAR Key Concepts • Slope=rate of change • Positive ROC=Increasing • Negative ROC=Decreasing • ROC of ZERO=Horizontal line • ROC of UNDEFINED=vertical Line

  12. Determine if ROC is Postive, Negative, zero, undefined-Graphs N P U 0

  13. Determine if ROC is Postive, Negative, zero, undefined-Equations 0 • Y=8 • Y=3x + 7 • X= 8 • Y=-3x + 7 P U N

  14. Determine if ROC is Postive, Negative, zero, undefined-Tables P 0 N U

  15. Important: Must solve for y!

  16. Find the Rate of Change • Y = 2x – 10 • Y = -5x + 4 • 2x = 4y + 16 • 2y + 6x = 24

  17. Remember: Two negatives=Positive - -=+

  18. ALWAYS

  19. 1. 2.

  20. 3. 4.

  21. Finding ROC from Graphs

  22. I. Rise and Run Rise= y axis Run= x axis

  23. What goes first? You need to rise up before you run

  24. Run –9 • Rise 3 Rise –3 • Run 9 Finding Slope with a Graph Find the slope of the line • Begin at one point and count vertically to fine the rise. • Up=Positive • Down=Negative (–6, 5) • Then count horizontally to the second point to find the run. • Right=Positive • Left= Negative (3, 2) It does not matter which point you start with. The slope is the same.

  25. Run –5 Rise –2 Rise 2 Run 5 Begin at one point and count vertically to find rise. Remember: up=____ down=___ Then count horizontally to the second point to find the run Remember: right=____left=_____ • •

  26. You Try!

  27. SUMMARY • What type of function has a ROC that can be described as a constant change adding or subtracting • How do you find the ROC in a linear equation? • How do you find the ROC in a linear table? • How do you find the ROC on a linear graph?

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