Given a function fx the graph of the related function ycfaxbd can be obtained from the graph of yfxby performing the transformations in the following. This requires some standard symbols and terms which you should become familiar with. Mathematics Learning Centre University of Sydney 2 112 The Vertical Line Test The Vertical Line Test states that if it is not possible to draw a vertical line through a graph so that it cuts the graph in more than one point then the graph is a function.
It then looks at domain and range for the hyperbola parabola exponential graph and straight line.
Transformations of y 1 x A rational function of the form r x ax b cx d can be graphed by shifting stretching andor reflecting the graph of f x 1 x. Functions and Their Graphs. This requires some standard symbols and terms which you should become familiar with. In this chapter we review all the functions necessary to study calculus.