Here is a graph of data showing the temperature of a bottle of water after it has been removed from the refrigerator.

Graph of data on grid. Horizontal axis from 0 to 6 by 1’s, time, hours. Vertical axis from 30 to 80 by 5’s, temperature, degrees Fahrenheit. Approximate data points as follows: 0 comma 35, 0 point 5 comma 42, 1 comma 47, 1 point 5 comma 52, 2 comma 59, 2 point 25 comma 62, 3 comma 66, 4 comma 68, 5 comma 71.

For the function types assigned by your teacher:

1. Apply a sequence of transformations to your function so that it matches the data as well as possible.
2. How well does your model fit the data? Make adjustments as needed.