Bell Ringer
Review- Finding limits using a table
- Finding limits using a graph
- Epsilon-Delta Limit Proofs
- Finding Limit Properties
- Dividing Out/Rationalizing Techniques
- Give an example of two functions that agree at all but one point.
- Limit Properties
Lesson- One-sided Limits
- page 78 #1-5 (odds)
- page 79 #7-21 (odds)
- page 79 #35-51 (odds)
Exit Ticket- Find the limit of the following function analytically.
- Note: Function will be written on the board in class.
- Create a function that has neither removable or nonremovable discontinuity.
| Lesson Objective(s)- How are one-sided limits related to two-sided limits?
- How are the types of continuity similar and different?
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
- APC.4
- Investigate asymptotic and unbounded behavior in functions.
- Includes:
- describing and understanding asymptotes in terms of graphical behavior and limits involving infinity
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