Question

F(x)=(x-2)³

Which of the listed functions is equivalent to f(x) for all positive values of x?
OA.
f(x)=x²
f(x)=x³
f(x)=¹/
f(x)= //
OB.
IIO C.
O D.

Answer 1

F r example: if , what is the value of ? Just plug for , , so if the function is , then .

There are some functions for which . For example: if we define as , the value of will be always positive and will give the following values: for , ; for , . Please note that in this case is equal to , meaning that for positive values of you'll get the same values of as for the negative values of .

So, basically in original question we are told to define the expression, for which , which means that plugging and in the expression must give same result.

A. --> is the expression for , we want to find whether the expression for would be the same: plug --> . As and are different, so does not equal to .