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

Question

Quizplus · Accepted Answer

The function $ f(x) = \frac{1}{x} $ is decreasing on the intervals $(-\infty, 0)$ and $(0, \infty)$, but it is not defined at $x = 0$, splitting the domain into two intervals where the behavior of the function changes.