Question #a448d

1 Answer
Nov 9, 2017

See below.

Explanation:

If a function is one to one.

One method is to show that:

#f(x)=f(y)=>x=y#

For example, we know that #y= 2x+3# is a one to one function.

So:

#2x+3=2y+3=>2x=2y=>x=y#

#y=x^2# is a many to one, so:

#f(x)=f(y)=>x=y#

#x^2=y^2# This is not one to one, since x could be a negative value and y could be positive, and vice versa. So:

#x!=y#

There may be better methods than this, but it may help.