One newly school question and answer requested students to say what they feel is the most crucial important challenge for a student to do in order to get success. One which response stood out from the rest was practice. Persons who are definitely successful do not become successful by being born. They work hard and dedication their lives to succeeding. This is how you can obtain your goals. Below some question and answer examples that you could definitely make use of to upgrade your knowledge and gain insight that will guide you to sustain your school studies.

## Question:

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

## Answer:

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.

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.

is also increasing

Only

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.