Bell Ringer
infinity negative infinity 0 / 0 0 none of the above
infinity negative infinity 0 3 none of the above
-7 -22 -4 -20 - none of the above
Review- Finding limits using a table
- Finding limits using a graph
- Epsilon-Delta Limit Proofs
- Limit Properties
- Trig Functions
- Dividing Out/Rationalizing Techniques
- Functions that agree at all but one point
- One-sided Limits
- Infinite Limits
- Precalculus
- Domain of a Function
- Asymptotes
Lesson- Go over problems from yesterday
Find the values of the constants a and b such that
Consider the function  Find the domain of f. Calculate  Calculate 
Determine all values of the constant a such that the following function is continuous for all real numbers.
- Let a be a nonzero constant. Prove that if
 , then  Show by means of an example that a must be nonzero.
- Create student lesson for tomorrow's student-led teaching
- Start student lessons
Exit Ticket- Complete previous day's Exit Ticket if you have not already done so.
| Lesson Objective(s)
- How are the concepts in chapter 1 related and applied?
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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