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 ?

Undefined You 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 PIC II PIC
III PIC IV PIC
IV only III and IV only II, III, and IV only I, II, III, and IV None 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 desired We can’t say for sure because might be undefined