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Bell Ringer # 5 (Quick Review)

Bell Ringer # 5 (Quick Review). Linear or Nonlinear? y = 3x + 1 Linear or nonlinear? 3x = 4 Linear or nonlinear? y = x 2. Chapter 7.5 Notes Objectives. SWBAT graph exponential functions. SWBAT identify data that display exponential behavior. CCRS: 30c, and 38. Exponential Function.

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Bell Ringer # 5 (Quick Review)

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  1. Bell Ringer # 5 (Quick Review) • Linear or Nonlinear? y = 3x + 1 • Linear or nonlinear? 3x = 4 • Linear or nonlinear? y = x2

  2. Chapter 7.5 NotesObjectives • SWBAT graph exponential functions. • SWBAT identify data that display exponential behavior. CCRS: 30c, and 38

  3. Exponential Function

  4. Example: Graph with a>0and b>1. Graph y = 3x. Find the y-intercept, and state the domain and range.

  5. Example #1 • Graph y = 7x Find the y-intercept and state the domain and range.

  6. Example: Graph a>0 and 0<b<1 • Graph y = (1/3)x. Find the y-intercept, and state the domain and range.

  7. Example #2 • Graph y = ( ½ )x – 1. Find the y-intercept, and state the domain and range.

  8. Graphs of Exponentials

  9. Graphs of Exponentials

  10. Example:UseExponentials a) Graph the function. What values of C and t are meaningful in the context of the problem? b) How much soda was consumed in 2005?

  11. Example #3: A certain bacteria population doubles every 20 minutes. Beginning with 10 cells in a culture, the population can be represented by the function B = 10 (2)t, where B is the number of bacteria cells and t is the time in 20 minute increments. How many will there be after 2 hours?

  12. Example: Identify Exponential Behavior • Determine whether the set of data shown below displays exponential behavior. Write yes or no. Explain.

  13. Example #4 Determine whether the set of data shown below displays exponential behavior. Write yes or no. Explain why or why not.

  14. Quick Quiz Graph each function. Find the y-intercept and state the domain and range. • y = 2x • f(x) = 6x + 3 HOMEWORK: TB pg. 427 (10-24 evens; 46-49)

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