Are the following statements true or false? In each case, prove your answer. There is a...

Are the following statements true or false? In each case, prove your answer.

There is a strictly decreasing function f from N to N with f(0) = 100.
Let f(x) and g(x) be strictly increasing functions from R to R. Then (f + g)(x) is also strictly increasing.
Once again, let f(x) and g(x) be strictly increasing functions from R to R. Then (f×g)(x) is also strictly increasing.

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Colby Messinger answered 1 year ago

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