Math 118 - Quantitative Analysis II
Study Guide - Quiz #1
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In you own words describe the concept of limit
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Illustrate the concept of limits by drawing the graphs of two different
functions that have a limit at some point - one which is defined at that
point and one which isn't - and one function that does not have a limit
at some point (three graphs all together).
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Describe the three conditions that must be statisfied for a function to
be continuous at a point.
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Display the graph of a function that has a limit at some point, but is
NOT continuous at that point.
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Given a function, determine whether or not it is continuous at a point,
and if it is not, which of the three conditions is violated. (Problems
3 - 22 on p. 644)
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Problems similar to those in the On-Line Practice Problems under the headings
"Evaluating Limits," "Indeterminate Form," and "Limits at Infinity."
(Problems 17 - 38 on p. 631, 31 - 38 on p. 645)
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Display the "Average Rate of Change Graph" (the figure on page 648), labeling
each piece correctly, and explain what happens in that graph to obtain
the derivative.
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Given a function, find the average rate of change between two values of
the independent variable. (Problems 39-44, p. 663)
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List the three concepts that are equivalent. (Hint: Derivative, instantaneous
rate of change of a function, and slope of the tangent line.)