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Before watching the videos, think about and answer these questions to the best of
your ability.

Suppose is a strictly decreasing function. This means that as increases, the values of
decrease. The table below shows several values of .

x

f(x)

1

15.5

2

12.9

3

Undefined

4

11.7

5

9.2

Using values from the table only, what would be the most accurate overestimate for
?

UndefinedYou need more information to determine the
most accurate overestimate.

If you use to approximate , how large could the error be using this approximation?

Cannot be sure without more information

For which of the following does exist?

I

II

III

IV

IV onlyIII and IV onlyII, III, and IV onlyI, II, III, and IVNone of these

Which of the following most accurately represents the meaning of ?

is equal to
gets close to but never equals The process of getting closer and closer to can
become as close to as desired by making get closer to can become as close to as
desired by making get closer to is an approximation that you can make as
close to as desiredWe can’t say for sure because might be undefined