Question

is this function one-to-one? f(x)=2x³ +5

Answer 1

A function is said to be one to one function for which, every element of Range of the function corresponds to exactly one element of domain.

In other words, the answer for the one to one function never repeats. For every value of x there is a unique value of f(x).

if implies that , then function is said to be one to one function.

therefore,

So find the values of function at 'x = a' and 'x = b' . Now find the solution of , if it gives , then function is one to one, otherwise not.

ANSWER-- the function is one to one.