Bell Ringer
- Ask any questions you may have about the quiz!
Review
- Finding limits using a table
- Finding limits using a graph
- Epsilon-Delta Limit Proofs
- Limit Properties
- Dividing Out/Rationalizing Techniques
- Functions that agree at all but one point
- One-sided Limits
- Infinite Limits
Lesson
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Find the values of the constants a and b such that
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Consider the function 
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Find the domain of f.
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Calculate 
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Calculate 
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Determine all value of the constant a such that the following function is continuous for all real numbers.
Exit Ticket
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The function f and its graph are shown below:
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Calculate the limit of f(x) as x gets closer to 2 from the left side.
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Which value is greater?
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the limit of f(x) as x goes to 1
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f(1)
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Explain your answer.
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At what value(s) of c on the interval [0, 4] does the limit of f(x) as x goes to c not exist?
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Explain your answer.
| Lesson Objective(s)
- How are the concepts in chapter 1 related?
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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