Determine whether the statement is true or false.
-$$\text { The function } f ( x ) = \frac { 1 } { x } \text { is decreasing on the interval } ( - \infty , \infty )$$

Question

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The function $f(x) = \frac{1}{x}$ is decreasing on the intervals $(-\infty, 0)$ and $(0, \infty)$, but it is not defined at $x = 0$, so it cannot be considered decreasing over the entire interval $(-\infty, \infty)$ without interruption.

Determine Whether the Statement Is True or False The function f(x)=1x is decreasing on the interval (−∞,∞)\text { The function } f ( x ) = \frac { 1 } { x } \text { is decreasing on the interval } ( - \infty , \infty ) The function f(x)=x1​ is decreasing on the interval (−∞,∞)

Determine Whether the Statement Is True or False $\text { The function } f ( x ) = \frac { 1 } { x } \text { is decreasing on the interval } ( - \infty , \infty )$