absolute value function
The absolute value function is a mathematical function that gives the distance of a number from zero on a number line, regardless of its positive or negative sign
The absolute value function is a mathematical function that gives the distance of a number from zero on a number line, regardless of its positive or negative sign. It is denoted by the symbol “|” surrounding the number.
Mathematically, the absolute value function is defined as follows:
For any real number “x”, the absolute value of “x”, denoted as |x|, is the non-negative value of “x”. If “x” is positive or zero, then |x| is equal to “x”. If “x” is negative, then |x| is equal to the opposite of “x”, i.e., “-x”.
In simple terms, the absolute value function essentially drops the negative sign (if there is one) and gives the positive value of the number. For example, |-5| is equal to 5, since 5 is the distance of -5 from zero on the number line.
The absolute value function has various applications in mathematics and beyond. It is commonly used in solving equations involving inequalities, as well as in finding the distance between two points in coordinate geometry. Additionally, it is useful in measuring the magnitude or size of quantities in various situations.
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