Chapter 1 Sec1 2 Mathematical Models 10 y y y 3 x 5 x 2 10 5 5 10 1 0 1 5 x 10 iii a 1 The function f x 1 x x 1 is called as reciprocal function its graph has the equation y 1 x or xy 1 and is a hyperbola with the coordinate axes as its asymptotes The graph of the reciprocal function is shown in the following figure y y 1 x x Rational Functions A rational function f is a ration of two polynomials f x P x Q x where P x and Q x are polynomials The domain consists of all values of x such that Q x 6 0 A simple example of a rational function is the function f x 1 x whose domain is x x 6 0 The graph of f x 1 x 2 is shown below you can clearly see that the graph of f x 1 x 2 is similar to the graph of f x 1 x but there is horizontal movement towards the right side we will 5 Spring 2014 MSM
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