SOLUTION: Determine whether or not the function is one to one.
f (x)=x^2-3
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Question 968784: Determine whether or not the function is one to one.
f (x)=x^2-3
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
by definition, injective (or one-to-one) means that every member of "A" has its own matching member in "B"
To show that is 1-1, you could show that
=>
one example: suppose
then
...so, is 1-1
in your case , so if then is 1-1
=> or ...so, is not 1-1, it is not injective (one-to-one) on its domain
In fact we can do a "Horizontal Line Test":
as you can see, and have same
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