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Teacher Notes

Teacher Notes. Slides 5-9 are for verbal description only, students do not have to write down notes unless you feel otherwise. Warm Up. Describe the transformations of the following exponential functions 1) 2) . Analyzing Graphs. Unit 5 Notes. Analyzing Graphs.

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Teacher Notes

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  1. Teacher Notes • Slides 5-9 are for verbal description only, students do not have to write down notes unless you feel otherwise.

  2. Warm Up Describe the transformations of the following exponential functions 1) 2)

  3. Analyzing Graphs Unit 5 Notes

  4. Analyzing Graphs Key features of graphs: • Intercepts • Domain/Range • Increasing/Decreasing • End Behavior • Maximums/Minimums *We’ll talk about Average Rate of Change and Odd and Even later today or tomorrow*

  5. Intercepts

  6. Domain/Range

  7. Increasing/Decreasing

  8. End Behavior

  9. Maximums/Minimums

  10. Putting it All Together

  11. Linear Functions

  12. Ex.1 Analyzing the Parent Function f(x) = x Domain: Range: x-intercept: y-intercept: Increasing: Decreasing: Minimum or Maximum: End Behavior: Domain:All Real Numbers Range:All Real Numbers x-intercept:(0,0) y-intercept:(0,0) Increasing:Always Decreasing:Never Minimum or Maximum: None End Behavior: rises to the right, falls to the left

  13. Ex.2 Analyzing Linear Functions f(x) = -x Domain: Range: x-intercept: y-intercept: Increasing: Decreasing: Minimum or Maximum: End Behavior: Domain:All Real Numbers Range:All Real Numbers x-intercept:(0,0) y-intercept:(0,0) Increasing:Never Decreasing:Always Minimum or Maximum: None End Behavior: Rises to the left, Falls to the right

  14. Exponential Functions

  15. Ex.3 Analyzing the Parent Function Domain: Range: x-intercept: y-intercept: Increasing: Decreasing: Minimum or Maximum: End Behavior: Domain:All Real Numbers Range:y > 0 x-intercept:none y-intercept:(0,1) Increasing:Always Decreasing:Never Minimum or Maximum: None End Behavior: falls left, rises right

  16. Ex.4 Analyzing the Parent Function Domain: Range: x-intercept: y-intercept: Increasing: Decreasing: Minimum or Maximum: End Behavior: Domain:All Real Numbers Range:y > 0 x-intercept:none y-intercept:(0,1) Increasing:Never Decreasing:Always Minimum or Maximum: None End Behavior: rises left, falls right

  17. Other Functions

  18. Ex.5 Analyzing other Functions Domain: Range: x-intercept: y-intercept: Increasing: Decreasing: Minimum or Maximum: End Behavior: Domain:All Real Numbers Range:All Real Numbers x-intercept:(0,0) y-intercept:(0,0) Increasing:Always Decreasing:Never Minimum or Maximum: None End Behavior: falls to the left, rises to the right

  19. Ex.6 Analyzing other Functions Domain: Range: x-intercept: y-intercept: Increasing: Decreasing: Minimum or Maximum: End Behavior: Domain:All Real Numbers Range: x-intercept:(-4,0) and (4,0) y-intercept:(0,8) Increasing: Decreasing: Min or Max:Max @ 9 End Behavior:falls to the left, falls to the right

  20. Ex.7 Analyzing other Functions Domain: Range: x-intercept: y-intercept: Increasing: Decreasing: Minimum or Maximum: End Behavior: Domain:x > -4 Range:y > 2 x-intercept:None y-intercept:(0,6) Increasing:Always Decreasing:Never

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