You may see them variously referred to as any of the following: There are several terms used to denote the coordinates of an ordered pair, ( input, output), depending on the discipline applying the math or the particular situation to which it is being applied. The letter y or f\left(x\right), represents the output value, or dependent variable. This is read as “y is a function of x.” The letter x represents the input value, or independent variable. The notation y=f\left(x\right) defines a function named f. A well-defined relation with no ambiguity regarding the output variable is also called a function.
This correspondence, called a relation, is written in the form of an ordered pair as ( input, output) and it satisfies the mathematical statement of the relation between the two quantities described by the equation. Each point on the graph represents a correspondence between one piece of information from the set of input values with one piece of information from the set of output values. In each of these situations the independent variable, representing the input quantity (time in years or number of pizzas sold) is graphed on the horizontal axis while the dependent variable, representing the output quantity (percent of new car value, population, or revenue) is graphed on the vertical axis. The growth (or decay, as in the value of your new car over time) in each of these situations can be modeled mathematically. For example, revenue, the amount of money collected when you sell an item, depends upon the number of items sold. Other types of growth depend on quantities other than time. It is not difficult to visualize growth in the population of people on the Earth over decades and centuries or of a number of bacteria in a petri dish over minutes and hours. Populations are also dependent upon time.
This type of decrease in value over time is called depreciation. Notwithstanding other variables such as vehicle damage or economic fluctuations, the value of your new car going forward will be largely dependent upon how long you’ve owned it. For example, say you purchase a brand-new car from a dealership. The value of your car begins to decline as soon as you sign the sales contract and drive the car off the lot.
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