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prove that every metric space is hausdorff and first countable
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
How would you prove algebraically that the function: f(x)= |x-2|, x<= 2 , is one to one?
There is no mathematical proof that space is infinite. All we know is that there is an expanding limit to what we can see.
Assuming the function is linear, the direction of the function can be determined by the coefficient's sign:[y = mx + b]Where m is the coefficient of x, if m is negative, then the function is increasing. If m is positive, the function is decreasing (this relationship is rather complicated and requires advanced calculus to prove).