Is this a one to one function?
F(x) = 1-x^2

Question

anonymous · Answer

dont you have to set f(x1) = f(x2)?

anonymous · Answer

Are there any values, a and b, such that F(a)=F(b)? If that is the case, it is not one-one.

anonymous · Answer

no. 2 different x (+x & -x) corresponding the same F(x)

myininaya · Answer

function is a parabola upside down U
so it is not 1 to 1

anonymous · Answer

ohh ok. so functions with even exponents are never one to one?

anonymous · Answer

heck no

anonymous · Answer

In this case, you can you 1 and -1, but that is just because it is an even function, it is not universal.

anonymous · Answer

ok thanks guys

anonymous · Answer

in order for a function to be one to one it must 
a) be strictly increasing or deceasing
b) pass the "horizontal line test" (so parabolas are out)

anonymous · Answer

c) satisfy if 
$$f(a)=f(b) $$ then $$a=b$$

myininaya · Answer

semicricles are out too!

anonymous · Answer

hello!  do you like my new title?

myininaya · Answer

the only one to one circle is the kind with the radius 0 lol

myininaya · Answer

its okay satellite ( i helped you get there)
i can go back through all the posts and take back medal 
i want to see if it will demote u 
lol

myininaya · Answer

jk satellite

anonymous · Answer

you can call me "master" now! lol

myininaya · Answer

master satellite when will you be guru