Graph key features of functions, linear equations and linear Essay

Graph key features of functions, linear equations and linear inequalities - Essay Examplend of relation with either one-to-one or many-to-one correspondence between the values of x in the domain and the matching values of y in the range. Given a set of ordered pairs that draw a function, each element x in the domain is distinct and does not repeat in value when paired with an element y in the range. Through a vertical line test, one may determine whether or not a relation is a function in a graph such that on running down a vertical line, the curve is hit only at a single point over in the curve. In this manner, it may be claimed that a linear equation is a function, but not all functions ar linear in nature. base on the aforementioned properties and definitions along with the examples shown, linear equation and function share the attribute of having one-to-one correspondence so that the independent variable x can buoy assume any value wherein no two or more values of y correspon d to a common value of x. The one-to-one relationship is strict in meaning for linear equations whereas functions take into account correspondence that is many-to-one in type considering equations that represent relations in quadratic and isometric forms. Besides linear equation, a function may also be modelled by nonlinear forms such as rational, polynomial, logarithmic, or exponential. Thus, all linear equations are functions but not all functions are linear equations.An equation of a vertical line is given by a constant relation x = c where c is a constant value which means that x domain stays at a single steady value at any value of y. An example of a vertical line equation would be x = 7 which is a straight line parallel with the y-axis and whose slope is infinity. A sketch of its graph would look