Question

For the following exercises, enter the data from each table into a graphing calculator and graph the resulting scatter plots. Determine whether the data from the table could represent a function that is linear, exponential, or logarithmic. \(\begin{array}{|c|c|c|c|c|c|c|c|c|} \hline x & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 \\ \hline f(x) & 9.429 & 9.972 & 10.415 & 10.79 & 11.115 & 11.401 & 11.657 & 11.889 & 12.101 & 12.295 \\ \hline \end{array}\)

Answer 1

In determining what model is represented by a set of points, we follow these steps:
1. Plot the points on the graph.
2, Determine whether it is one of these: — if the points do not lie on a straight line, then it is not a linear model.
~ if after drawing a straight line between two points most of the points in between lie above the line, then it isa logarithmic model.
— if after drawing a straight line between two points most of the points in between lie below the line, then it is a exponential model.