Question

Determine whether or not this function is one-to-one: f(x) = (2-3x^2)^3

Answer 1

Without using any type of computer/calculator help, that is.

Answer 2

Here is my work. I figured since x1=x2 that the function should be one-to-one, but when I graphed it out, it does not pass the Horizontal Line Test.

Answer 3

Its not one to one function. ITs many to one function because of x^2 term. it will result same value when x is +/- of any number. For example +/- 1

Answer 4

Oh, ok. I even have the +/- in m work, but I figured since both sides were +/- that they would be one-to-one. But what you said makes sense.