Real numbers symbol1/17/2024 (where R stands for the whole collection of real numbers). The domain of the modulus function is R, while the range of the modulus function is the set of non-negative real numbers (0,). Domain and Range of Modulus FunctionĪny real number can be modulated using the modulus function. As a consequence of this, it is consistently beneficial. It can never be negative since it represents distance, and distance cannot be negative. It also displays the number’s polarity, whether positive or negative. The absolute value of a number is the distance between it and the origin on the number line. The absolute value of 9 is expressed as |9|, for example. The modulus symbol, ‘| |’, is used to denote absolute value, with the numbers between it. One way to think about the absolute value of a number is as the location of that number on the real number line in respect to the value zero. For instance, the absolute value of five is five, and the absolute value of five minus five is likewise five. The absolute value (or modulus) of a real number x is | x | which is its non-negative value, regardless of its sign. How to define a modulus value of a real number? The modulus of an is represented by two vertical lines |a|, which is also known as the modulus of a. It is shown by the symbol |a|, which represents the magnitude of any number that begins with the letter ‘a.’ The actual numbers, regardless of whether the integer in question has a positive or negative sign attached to it, will always be the integer’s absolute value. ![]() Let’s go a little more into the modulus of real numbers, shall we? Absolute Values of Real NumbersĪbsolute value refers to the distance that separates a given number from the zero point at the beginning of a number line. If the value of x is negative, the function f(x) will return the magnitude of x that is, f(x) will equal -x. If x is not negative, then the value of f(x) will be the same as x. When x is a real number, the modulus of x is denoted by the notation |x|. The modulus function is denoted by the expression y = |x| or f(x) = |x|, where f is R (0,) and x is R. There is never going to be a value that is in the negative for any integer or variable. ![]() The modulus function, also known as the absolute value function, determines the magnitude or absolute value of a number, whether positive or negative.
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