Here is three examples
x --> -x
x --> x^3
x --> tg x
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One common example is temperatures below 0. These are negative numbers.
To start with, when you multiply an even number of negative numbers, the answer is positive. When you multiply an odd number of negative numbers, the answer is negative. When you multiply any number of positive numbers, the answer is always positive. For positive numbers, the value of a power is always positive. For negative numbers, the value of an odd power is negative, and the value of an even power is positive. Finding roots is the inverse of taking powers, so that an odd-root function can be evaluated for any value of x. An even-root function, however, cannot be evaluated when the value of x is negative, since an even power can never result in a negative answer. The domain of an odd root function is all real numbers; the domain of an even root function is the non-negative real numbers.
Most calculators have a +/- (+ is positive, - is negative) symbol on them, which allows you to use the negative function. To do so, simply key in the number, then hit the +/- sign, which will then put the number in negative (minus) status. But if you already have a negative number, for example if you key in 25 - 30, you will have a -5, then you can hit the symbol to make it a positive number if that's what you want. In other words, when you hit that function, it will give you the opposite of what's in it at the time. For example, if the display shows a positive number and you hit that function, you will then have a negative number. If it shows a negative number and you hit that function, you will then have a positive number.
Yes the integer group includes negative numbers, positive numbers, and 0.
They can be. For example, -3 is a negative whole number.