![]() Why Modulus Function is Not Differentiable? After transformations, it may look like g(x) = a |x - h| + k, whose vertex is (h, k). The general form of the parent function of the modulus function is f(x) = |x|. What is the Equation of Modulus Function? Thus, the modulus function is always positive. The modulus of a negative number is obtained by ignoring the minus sign. The modulus of a positive number is positive. ![]() To summarize, the derivative of modulus function |x| is x/|x|, where x not equal to 0. The derivative of the modulus function is not defined for x = 0. The integration of the modulus function depends on the value of x. What is the Integration of Modulus Function? The domain of the modulus function is ℝ (where ℝ refers to the set of all real numbers) and the range of the modulus function is the set of non-negative real numbers which is denoted as [0,∞). What is the Domain and Range of the Modulus Function? This is also called the absolute value function. The modulus function is denoted as y = |x| or f(x) = |x|, where f: ℝ → [0,∞) and x ∈ ℝ. The modulus function gives the magnitude or absolute value of a number irrespective of the number is positive or negative.
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