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Q: What is the function of space prove?
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Prove that countable space is countable?

prove that every metric space is hausdorff and first countable


How can you prove air is matter?

The classical definition says anything that occupies space is matter. To prove air occupies space we can do a small experiment. Take a balloon and blow air in it. The balloon expands and this proves that air occupies space. And thus we can prove air is matter.


How can we prove that matter occupies space?

Inflate a balloon.


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The answer depends on what you wish to prove!


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How would you prove algebraically that the following function is one to one? f(x)= (x+3)^2 , x>= -3?


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I posted this question myself to be honest because i wasn't sure... but the horizontal line test was made to prove whether the function/graph was an one-to-one function


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How can you determine whether a function is even odd or neither?

Looking at the graph of the function can give you a good idea. However, to actually prove that it is even or odd may be more complicated. Using the definition of "even" and "odd", for an even function, you have to prove that f(x) = f(-x) for all values of "x"; and for an odd function, you have to prove that f(x) = -f(-x) for all values of "x".


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