Modeling of Change

Modeling of ChangeIn the second of a two-part series, I look at how some other parts of college algebra affect its functions and change. Part one looked at the normal functions and change. This part discusses the normal changes that cause change and how changes can influence functions.Change and function are related and change can create new function. Change can be represented as the natural logarithm. This is because changes in the functions are always changing by a positive integer power.Normal changes create new functions, but can also affect ones that were previously in existence. As we all know, normal changes have to do with the sum of powers of two. A normal change must also be of the form: where I is the base. Thus, a normal change is defined asIt can be said that this model captures the effects of change in two different ways: it is a modeling approach and a modeling of change. The previous four paragraphs found in this article describe an approach to modeling that attempts to capture the effects of change. One drawback of this approach is that it cannot capture the effect of normal changes that change by a number of powers.When normal changes change the form of a function, it usually affects the initial state of the function. Also, when the changes change the values of functions change, they usually affect the initial state of functions.Therefore, as we will see in the next paragraph, both the model and the change must be given equal weight. This is a modeling approach.In the modeling of change model, we first convert any function into the form in which it will change. Then, we set up a series of equations for this new state and solve for a value of the new function. By doing this, we can model the effects of change.The same process can be used for the model of change. The simplest way to model change is to have a state in which the function is changed. From this state, we can then solve for a value of the function and model the changes in terms of th is value.