The ebook Elementary Calculus is based on material originally written by H.J. Keisler. For more information please read the copyright pages. 
Home Real and Hyperreal Numbers Functions of Real Numbers Examples The Square Function  
Search the VIAS Library  Index  
Example 1: The Square Function
The square function is defined by the rule f(x) = x^{2} for each number x. The value of f(a) is found by squaring a. For instance, the values of f(0), f(2), f(3), f(r), f(r+1) are f(0) = 0, f(2) = 4, f(3) = 9, f(r) = r^{2}, f(r + 1) = r^{2} + 2r + 1. The graph of the square function is the parabola with the equation y = x^{2}. The graph of y = x^{2}, with several points marked in, is shown in Figure 1.2.3.
Figure 1.2.3


Home Real and Hyperreal Numbers Functions of Real Numbers Examples The Square Function 