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
 EpsilonDelta Limit Proofs
 Limit Properties
 Trig Functions
 Dividing Out/Rationalizing Techniques
 Functions that agree at all but one point
 Onesided 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.
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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
 onesided limits
 limits at infinity, infinite limits, and nonexistent 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
