• In Desmos, graph the derivative function of 1/(x2+1). Then graph its antiderivative so that the maximum value of the antiderivative function is twice as great the maximum value of your function.
• Using the graph of antiderivative function estimate the y-intercept and the end value of the function (asx+infinity
• Interpret the y-intercept and the end behavior of the antiderivative function in the context of your application problem.

The application problem is the rate of spread of an infection over time in days. This application problem is used to describe the above function. The graph of the above function is used to describe the application problem.