Polynomial function

Polynomial function RELATIONS AND FUNCTIONS The graph is a line parallel to x-axis. For example, for each XER, then its graph will be a line as shown in the Fig 2.9. (iD Polynomial function A function/ : R —+ R is said to be polynomial funclion if for each x in R y = f (x) + + x", where n is a non-negative integer and ao, a l, R. The functions defined by = _e — _e+ 2, and g(x) = x are some examples Of polynomial functions, whereas the function h defined by = + is not a polynomial function.(Why?) Example 13 Define the function f: R R by y = fix) = x2, x e R. Complete the Table given below by using this definition. What is the domain and range of this function? Draw the graph of j: Y = fix) = x2 Solution The completed Table is given below: 1 2 4 RI. 9 4 16 16 9 4 Domain of f— lx : xeRl. Range of f by Fig 2.10 4 fix) = x 2 The graph of f is given Fig 2.10 2015-16

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