SOLUTION: 1.)Is the interval [0,1] closed under multiplication. ? Is yes, why? If no, give explanation 2.)is the interval [0,1] closed under subtraction if yes or no why? 3.) what does it

Question 942429: 1.)Is the interval [0,1] closed under multiplication. ? Is yes, why? If no, give explanation
2.)is the interval [0,1] closed under subtraction if yes or no why?
3.) what does it mean when a question says , is f (x) a function ?
4.) what does f(x) means?
I need your help I'm so confused

Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
1. Yes. Multiplication of two numbers in [0,1] always returns a number in [0,1].
2. No. For example, 0.1 - 0.8 = -0.7 which is not in [0,1].
3. f(x) is a function if and only if each x in the domain is mapped to exactly one value/output in the codomain.
4. Function notation (read "f of x") for a function f that takes argument x
For 3. and 4., see https://en.wikipedia.org/wiki/Function_(mathematics))
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