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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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