What is the relation between the graphs and function and how was it applied in the real world?
Graphs are frequently used in national magazines and newspaper to present information about things such as the world’s busiest airports (O’Hare in China is first, Heathrow in London is sixth), about the advertising-dollar receivers in the United States (newspaper are first, radio is fourth) and about NCAA men’s golf team title winner (Yael is first, Houston is second). The function concept is very closely connected to graphs, and functions are the heart of mathematics.
I gathered my information from books especially algebra books and some are from the internet. I went to the library to look for some books and I borrowed some so I have many resources of information.
Many real-life relations between two quantities expressed in the form of equation are functions. To visualize these relationships, geometric figures called graphs are used. Modern technology provides us with graphing utilities needed to draw these graphs as well as enhance man’s knowledge of graphing techniques. Scientist and astronomers identify, visualize, and explore graphical patterns useful in analyzing data about the universe. Economist and businessmen draw mathematical models to find curves of best fit. Generally, the use of function and graphs is found in every scientist and business activity.
Function
Function is said to be the central idea in the study of mathematics. In many situations, there is mathematical function in which one quantity corresponds to another quantity according to some definite rule.
A relation was defined as correspondence between two variables, x and y, or a set of ordered pairs (x,y) where x is related to y.
For instances, the price of a plot of land (y) is related to the number of square meters of land bought (x); the monthly wage (y) of an employee is related to the number of hours the employee worked (x); the
Bibliography: Barnett, Raymond and Zeigler, Michael. Essential of College Mathematics, Dellen Publishing Company, San Francisco, Calif., 1989 Brumfiel, Vincent, Dalton, Leroy, and Wells, David. Using Geometry, ( 2nd Edition), Laidlaw Brothers Publishers, Illinois. 1984. Charles, Young, and Barnett. Addison Wesley Mathematics, Addison-Wesley Publishing Company. Dolciani, Mary, Soregenfrey, Robert, et al. Algebra and Trigonometry; Structure and Method, Book 2, Houghton Mifflin Company, USA, 1986. Larson, Roland, Hosttler, Robert, and Edwards, Bruce. Precalcullus; A Graphing approach, D.C Health and Company, Lexington, Massachusetts, 1993.