I am confused about the concept of one to one functions when applying it to problems. I know that a one to one function has one x for every y. I was given the function
g(x) = (5x^2 + 15)^7777
and I had to explain why g is not a one to one function. I couldn't really explain the answer but the only thing that came to my mind was because it has a power of 7777. The possible answers are
a) It is not a one to one function because some Y values have two X values.
b) It is not a one to one function because some Y values have three X values.
c) It is not a one to one function because some X values have no Y value.
d) It is not a one to one function because some X values have two Y values.
e) It is not a one to one function because some Y values have one X value.
The answer I chose was d, but it was incorrect. The correct answer was a. I am really confused as to how to apply the concepts to solve this problem. Could someone shed some light on this topic? I would really appreciate it! Thank you.