How Fast is CO2 Increasing?

Thomas J. Pfaff ()
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Thomas J. Pfaff: Ithaca College, Department of Mathematics

Chapter Chapter 4 in Applied Calculus with R, 2023, pp 49-58 from Springer

Abstract: Abstract In the Function Gallery, chapter 3 , we were introduced to functions that modeled data. The exercises were focused on the units and finding x-values and y-values, but there is much more information in these graphs. In this chapter we begin to develop quantifying how fast a function changes. We will start with how fast a function changes over an (input) interval by using a secant line which effectively averages the rate of change over an input range. We then begin to develop the notion of how fast a function changes at a specific input value with the goal of quantifying this speed. The analogy here is the speed of a car at moment in time. Once we can quantify change at a point we will be able to explicitly calculate key values of a function that were introduced in Describing a Graph, chapter 2 . We will use the model in figure 4.1, which measures the average amount of carbon dioxide, $$CO_2$$ C O 2 , in the atmosphere each year with the model constructed with data from 1950 through 2017. The function gallery, chapter 3 , has an updated CO2 function with more recent data.

Date: 2023
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DOI: 10.1007/978-3-031-28571-4_4

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