# A Deeper Look at Exponential Functions

### Resources for this lesson:

> Glossary

> Calculator Resources

> Teacher Resources: Instructional Notes

## Test and Confirm

Khalid: To graph the equation of best fit with the original data set, you need to account for the vertical translation by adding the room temperature to the equation. So, the exponential equation of best fit for the data set is .

Notice that the new exponential curve is a better fit for the data and shows that the coffee temperature will eventually cool to room temperature.

Examine the residual plot for the adjusted temperature data:

The residual values are close to zero and fairly random. This confirms that an exponential model is appropriate for this data set.

## Apply the Model

## Check Your Understanding