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Real Zero of a Function

A real zero of a function is a real number that makes the value of the function equal to zero.

A real number, r , is a zero of a function f , if f ( r ) = 0 .

Example:

f ( x ) = x 2 3 x + 2

Find x such that f ( x ) = 0 .

0 = x 2 3 x + 2

0 = ( x 2 ) ( x 1 )

x = 2 or x = 1

f ( 2 ) = 2 2 3 ( 2 ) + 2 = 0

f ( 1 ) = 1 2 3 ( 1 ) + 2 = 0

Since f ( 2 ) = 0 and f ( 1 ) = 0 , both 2 and 1 are real zeros of the function.

 

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