You are about to erase your work on this activity. Are you sure you want to do this?

Updated Version Available

There is an updated version of this activity. If you update to the most recent version of this activity, then your current progress on this activity will be erased. Regardless, your record of completion will remain. How would you like to proceed?

Mathematical Expression Editor

Please answer each of these questions to the best of your ability. You are welcome to
re-watch parts of any of the videos to help you.

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

15.2

2

13.9

3

Undefined

4

9.7

5

5.2

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