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- Thread starter KOO
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- #1

- Jan 29, 2012

- 661

Prove that $f:[0,2)\to [5\color{red},\color{\black}6)\cup [7,8)$What to do next?

$$f(x)=\left \{ \begin{matrix} x+5& \mbox{ if }& x\in [0,1)\\x+6 & \mbox{ if }&x\in [1\color{red},\color{\black}2)\end{matrix}\right.$$

is injective and surjective.

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Prove that $f:[0,2)\to [5.6)\cup [7,8)$

$$f(x)=\left \{ \begin{matrix} x+5& \mbox{ if }& x\in [0,1)\\x+6 & \mbox{ if }&x\in [1.2)\end{matrix}\right.$$

is injective and surjective.

Did you mean [5,6) and not [5.6)?

Also, [1,2) and not [1

Thanks!

- Jan 29, 2012

- 661

Of course, my fingers were clumsy.Did you mean [5,6) and not [5.6)?

Also, [1,2) and not [1.2)?