Absolute Value Function
f(x) = |x|
The absolute value function is a mathematical function that returns the non-negative value of a given number, regardless of whether the input is positive or negative. The function is denoted by “|x|”, where “x” can be any real number.
The graph of the absolute value function is V-shaped, with the point at the origin as the vertex. If “x” is positive, then the value of “|x|” is the same as “x”. However, if “x” is negative, then the value of “|x|” is the opposite of “x”, which means that the negative sign is dropped.
For example, the absolute value of 4 is 4, and the absolute value of -4 is also 4. Similarly, the absolute value of -7 is 7, and the absolute value of 7 is also 7.
The absolute value function has many practical applications in mathematics, science, and engineering. For example, it is used to represent distances, magnitudes, and differences between two values. It is also commonly used in solving equations and inequalities involving absolute value.
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