Question

which of the following is a one-to-one function

Answer 1

the functions?

Answer 2

a function \(f\) is said to be one-to-one provided that if \(f(x)=f(y)\) then \(x=y\)

Answer 3

the two lines are one to one, the rest are not one to one i think

Answer 4

be careful on the first one

\(f(0) = f(1) = 2\)

Answer 5

for the third one [[2(1/3)]]=[[2(1/3.5)]]
for the 4th (-1)^2=1^2

Answer 6

I got D?

Answer 7

why?

Answer 8

(-1)^2=1^2=1

can you see why this shows it is NOT one to one?

Answer 9

because we have f(1) = f(-1) but 1\(\ne\)-1

Answer 10

B

Answer 11

why?

Answer 12

you are right, I just hope that was not a lucky guess:P

i.e. I hope you understand why.