Which cube root function is always decreasing as x increases?

f (x) = RootIndex 3 StartRoot x minus 8 EndRoot

f (x) = RootIndex 3 StartRoot x EndRoot minus 5

f (x) = RootIndex 3 StartRoot negative (5 minux x) EndRoot

f (x) = Negative RootIndex 3 StartRoot x EndRoot + 5

Step-by-step explanation:

is an increasing function as when the value of x increases the value of y increases

And when the value of x decreases, the value of y also decreases.

Now if we have (x+a) or (x-a) instead of x, the function shall have a horizontal shift.

So it shall either move left or right but shall not flip.

So

and

are increasing functions.

Only when x becomes - x, that the function shall flip & shall become a decreasing function.

But then it must be - (x-a) or - (x+a) inside.

So

is also increasing

Only

is a decreasing function.

Option D) is the right answer