How does increasing the tension of a string affect various properties?

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SUMMARY

Increasing the tension of a string directly affects its physical properties. The fundamental frequency of vibrations on a string increases with tension, while the wavelength of the standing wave decreases. The wavelength of the sound waves produced by the string remains unchanged, but the frequency of the sound waves increases. Additionally, the speed of the standing waves on a string increases, as does the speed of the sound waves produced by the string. These relationships are governed by the principles of wave mechanics and the equations governing wave propagation.

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GalacticSnipes
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This isn't really a homework question, just a question i got wrong on test and want to understand:
If the tension of a string increases how would the following be affected (Increase, decrease, stay the same, not enough info)?
1. The fundamental frequency of vibrations on a string?
2. The wavelength of the standing wave on a string?
3. The wavelength of the sound waves produced by the string?
4. The frequency of the sound waves produced by the string?
5. The speed of the standing waves on a string?
6. The speed of the sound waves produced by the string?

If someone could "enlighten" me that would be much appreciated, and please tell me why the answers to these questions are what they are. :)
 
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