Decreasing Function

$\left[a,b\right]$ is an interval in the domain of a function

$f$ , we say that the function

$f$ is decreasing in the interval

$\left[a,b\right]$ if and only if for all elements

$x_{1}$ and

$x_{2}$ of

$\left[a,b\right]$ , if

$x_{1}<x_{2}$ , then

$f\left( x_{1}\right) ≥ f\left(x_{2}\right)$ .

Consider the function defined by $f\left(x\right) = -3x+2$ .

Therefore: $x_{1} < x_{2}$ and $f\left(0\right) ≥ f\left(2\right)$ .

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