The full video on near-numbers and functions (10:54) is finally online, including looks at the following functions:
reciprocation,
squaring,
the square root,
negation,
the exponential,
the natural logarithm, and
the sine function.
The key learning goal of the video is to see how to use functions with near-numbers, and to note that functions undefined at some point remain so—we mark the occurrence of actual undefined results with an asterisk (*) on the near-number result, though we should seldom (if ever) need to do so.
The examples go at full speed, so it could be useful to slow playback to 75% speed on your first watching, or to be ready to pause and/or rewind!