Exam 1: Functions and Limits

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Find the value of Find the value of   .   . . Find the value of   .   . .

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Determine whether the function is even, odd, or neither. Determine whether the function is even, odd, or neither.

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Suppose that the graph of is given f is given. Describe how the graph of the function Suppose that the graph of is given f is given. Describe how the graph of the function   can be obtained from the graph of  f. can be obtained from the graph of f.

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Is there a number a such that Is there a number a such that   exists? If so, find the value of a and the value of the limit. exists? If so, find the value of a and the value of the limit.

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Define the function Define the function   at 0 so as to make it continuous at 0. at 0 so as to make it continuous at 0.

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Find the domain of the function. Find the domain of the function.

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Evaluate the function Evaluate the function   at the given numbers (correct to six decimal places). Use the results to guess the value of the limit    at the given numbers (correct to six decimal places). Use the results to guess the value of the limit Evaluate the function   at the given numbers (correct to six decimal places). Use the results to guess the value of the limit    Evaluate the function   at the given numbers (correct to six decimal places). Use the results to guess the value of the limit

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Determine where f is discontinuous. Determine where f is discontinuous.

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Find the domain of the function. Find the domain of the function.    Find the domain of the function.

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Evaluate the limit. Evaluate the limit.

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Use the graph of the function to state the value of Use the graph of the function to state the value of   , if it exist.  , if it exist. Use the graph of the function to state the value of   , if it exist.

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If If   , then if   exists, find the value where it exists. , then if If   , then if   exists, find the value where it exists. exists, find the value where it exists.

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Evaluate the limit. Evaluate the limit.

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Find the limit Find the limit   . .

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Find the interval(s) where Find the interval(s) where   is continuous. is continuous.

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Let Let   . Find the following limits.  . Find the following limits. Let   . Find the following limits.

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Which of the following graphs is neither even nor odd?

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Find the interval(s) where Find the interval(s) where   is continuous. is continuous.

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Evaluate the limit. Evaluate the limit.

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Find the limit Find the limit   , if it exists. , if it exists.

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