Which cube root function is always decreasing as x increases?

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Which cube root function is always decreasing as x increases?

A) f(x) = 3√x-8
B) f(x) = 3√x-5
C) f(x) = 3√-(5-x)
D) f(x) = -3√x+5


We know

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.



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.

is also increasing


is a decreasing function.

Option D) is the right answer.

They could possibly hopefully help the student sort out the question by using the questions and answer examples. You would possibly then have a discussion with your classmate and continue the school learning by studying the question alogside each other.

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