The following data was collected from an experiment. The speed of an object was measured for five seconds.

\begin{tabular}{|c|l|l|l|l|l|}
\hline
Time (s) & 1.0 & 2.0 & 3.0 & 4.0 & 5.0 \\
\hline
Speed [tex]$(m/s)$[/tex] & 4.2 & 8.1 & 11.8 & 16.0 & 19.9 \\
\hline
\end{tabular}

a. Using any graphing technology of your choice, plot the points and do a curve fit. Attach your graph to this item. To attach the graph, save it as an image file. Ensure your name and today's date appear either on the graph or the file name.

b. Identify a value on this graph that would be an interpolation.

c. Identify a value on this graph that would be an extrapolation.