Day 08 - Limits at Infinity - 08.26.15

Update
  • Unit 1 Test next Thursday!
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    • New this year
      • We are letting students choose whether or not they are willing to tutor for service hours instead of pay.
    • Form closes on Sunday

Bell Ringer

    1. 0

    2. 5

    3. none of the above

    1. 3

    2. 0

    3. none of the above

  1. Find the horizontal asymptote of .

    1. 2

    2. 0

    3. none of the above

    1. 0

    2. 2

    3. none of the above

Review
  • Math Overview (video)
    • Numbers
    • Relationships
    • Shapes
    • Change
  • Limits
    • Intro to Limits (video)
    • Nonexistent Limits (video)
      • How are limits found numerically and graphically? (checkpoints)
      • How are limits found algebraically? (checkpoints)
    • Continuity (videoand One-sided Limits (video)
      • How can discontinuity of a function be described?
      • How are one-sided limits related to regular limits? (checkpoints)
    • Infinite Limits (video)

Lesson

Exit Ticket
  • Posted on the board at the end of the block

Homework
  • N/A
Lesson Objectives
  • How are limits at infinity evaluated?

In-Class Help Requests



Standard(s)
  • APC.2
    • Define and apply the properties of limits of functions.
      • Limits will be evaluated graphically and algebraically.
        • Includes:
          • ​limits of a constant
          • ​limits of a sum, product, and quotient
          • ​one-sided limits
          • ​limits at infinity, infinite limits, and non-existent limits*
  • APC.3
    • Use limits to define continuity and determine where a function is continuous or discontinuous.
      • Includes:
        • ​continuity in terms of limits
        • continuity at a point and over a closed interval
        • ​application of the Intermediate Value Theorem and the Extreme Value Theorem
        • ​geometric understanding and interpretation of continuity and discontinuity