A complex number has two components: a real component and an imaginary one, and is usually written in the form x+yi where i is the imaginary square root of -1. The real component of such a number is x.
The distance from zero.
No. Absolute value applies to the set of real numbers.
The absolute value of a number is positive, so the range is always a positive real number. You are correct. The domain, that is the value before you take the absolute value, is all real numbers, but the range is always positive.
There are two real numbers and infinitely many complex numbers.
Two (assuming you are talking about real numbers). In general, for any given positive number, there will be two real numbers whose absolute value is that given number. In the case of complex numbers, the answer is "infinitely many" - all the numbers on a circle centered on the origin, with that radius, have that absolute value.
Non-negative real numbers.
3.14
The answer depends on what are meant to be real numbers! If all the coefficients are real and the matrix of coefficients is non-singular, then the value of each variable is real.
In Real numbers, each is the additive inverse of the other.
Only two real numbers but infinitely many complex numbers.
the range is all real numbers
All Real numbers is your Domain and Range.Your domain is all the x-values that satisfy your equation. Since all numbers out to infinity can be placed into the x-value, then your domain is all real numbers.Your range is how far your y-value can get up to. Since you can put up to infinity into your x-value then your y-value can also equal infinity. Therefore, your range is also all real numbers.In cause you didnt know what all real numbers means.... All real numbers means every single number there is. So... all the decimals, all the fractions, all the negative and positive numbers, all numbers in existence.