Page 52 - Calculus Demystified
P. 52

CHAPTER 1
                                      Basics


















                                                    Fig. 1.44                                     39


                         SOLUTION
                           The sketch in Fig. 1.45 is obtained by plotting points. This curve is not the
                         graph of a function.






















                                                    Fig. 1.45

                           A curve that is the plot of an equation but which is not necessarily the graph
                         of a function is sometimes called the locus of the equation. When the curve is
                         the graph of a function we usually emphasize this fact by writing the equation
                         in the form y = f(x).

                                                     2
                     You Try It: Sketch the locus x = y + y.
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