The function f is given by f$($x$)=$

$.$ Which of the following describes f$?$

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For any interval of

$,$ the function has a negative rate of change, and for any interval of

$,$ the function has a positive rate of change.

For any interval of x$,$ the function always has a positive rate of change.

For any interval of

$,$ the function has a positive rate of change, and for any interval of

$,$ the function has a negative rate of change.

For any interval of x$,$ the function always has a negative rate of change.