Web Reference: What is Absolute Value Function? An absolute value function is a function in algebra where the variable is inside the absolute value bars. This function is also known as the modulus function and the most commonly used form of the absolute value function is f (x) = |x|, where x is a real number. Now that we can graph an absolute value function, we will learn how to solve an absolute value equation. To solve an equation such as 8 = | 2 x − 6 |, 8 = | 2 x − 6 |, we notice that the absolute value will be equal to 8 if the quantity inside the absolute value is 8 or -8. This is the Absolute Value Function: f (x) = x. It is also sometimes written: abs (x). This is its graph: f (x) = x.
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