Is it true that ? One-to-one??

Is is possible that ? Onto??

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- Mar 17th 2009, 05:50 PM #1

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## one-to-one and/or onto?

Define

*h*:**Z****->****Z**by*h*(*x*) = 7|*x*| – 6

a. Is*h*one-to-one? Explain.

b. Is*h*onto? Explain.

I'm having a hard time finding an explanation for this one. I think it is one-to-one, but not onto. Is this correct? An explanation would be appreciated

- Mar 17th 2009, 06:12 PM #2

- Mar 17th 2009, 06:53 PM #3

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- Mar 17th 2009, 07:13 PM #4

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- Mar 17th 2009, 07:34 PM #5

- Mar 17th 2009, 08:19 PM #6

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A function f is one-to-one if and only if whenever f(x) = f(y), x = y

A function f (from set A to B) is onto if and only for every y in B, there is at least one x in A such that f(x) = y

Ok, so

It is not one to one since

and I don't believe it would be onto then either

- Mar 17th 2009, 09:00 PM #7

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