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Precalculus GT Monday, September 23, 2013 A Day

Precalculus GT Monday, September 23, 2013 A Day. Drill : Show algebraically whether the function is even, odd or neither. 1.3 Twelve basic Functions.

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Precalculus GT Monday, September 23, 2013 A Day

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  1. Precalculus GTMonday, September 23, 2013A Day • Drill: Show algebraically whether the function is even, odd or neither.

  2. 1.3 Twelve basic Functions Obj: SWBAT identify the 12 basic functions by their graphs and their equations. They will be able to identify properties about each function as well. Hwk: Finish Worksheet

  3. Partner Activity • Work with someone by you to complete the worksheet WITHOUT graphing on the calculator. Do as many as you can. • We’ll go over the answers as a class together.

  4. Page 102, Figure 1.36 Domain: Range:

  5. Page 102, Figure 1.37 Domain: Range:

  6. Page 102, Figure 1.38 Domain: Range:

  7. Page 102, Figure 1.39 Domain: Range:

  8. Page 102, Figure 1.40 Domain: Range:

  9. Page 102, Figure 1.41 Domain: Range:

  10. Page 103, Figure 1.42 Domain: Range:

  11. Page 103, Figure 1.43 Domain: Range:

  12. Page 103, Figure 1.44 Domain: Range:

  13. Page 103, Figure 1.45 Domain: Range:

  14. Page 103, Figure 1.46 Domain: Range:

  15. Page 103, Figure 1.47 Domain: Range:

  16. Think about Questions • Which of the functions are even? • Absolute Value Function • Squaring Function • Cosine Function

  17. Think about Questions • Which of the functions are some way bounded? • Exponential Function (bounded below) • Absolute Value Function (bounded below) • Square Root Function (bounded below) • Squaring Function (bounded below) • Cosine Function (bounded) • Sine Function (bounded) • Logistic Function (bounded)

  18. Think about Questions • Which of the functions are not continuous? • Greatest Integer Function • Reciprocal Function

  19. Hwk: • This worksheet will be collected and graded on correctness next class. • Make sure you plot points and not just sketch the functions.

  20. 1.4 Building Functions from Functions Obj: SWBAT build new functions from old functions by addition, subtraction, multiplying, dividing and composing functions. They will also be able to find the inverse of a function. Quiz Thursday on 1.2-1.3

  21. Find the following and state any domain restrictions.

  22. Combining Functions Algebraically

  23. Composition of functions

  24. What’s the domain?

  25. Using implicitly defined functions • How do I graph this on the calculator?

  26. Decomposing Functions • Find f(x) and g(x) so that y = f(g(x))

  27. Exit Slip • Which of the 12 basic functions do not have the following end behavior? You will be able to use your graphing calculator on tomorrow's quiz. No calculator sharing will be allowed. So bring yours!

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