ExponentialAbschätzungen

ExponentialAbs is a mathematical function that combines the exponential function with the absolute value function. It is defined as the absolute value of the exponential function applied to a variable. Mathematically, it can be represented as f(x) = |e^x|, where 'e' is the base of the natural logarithm (approximately 2.71828) and 'x' is the input variable.

The graph of ExponentialAbs is identical to the graph of the standard exponential function, e^x, because the exponential function e^x is always positive for all real values of x. Therefore, taking the absolute value of e^x does not alter its output. The function's domain is all real numbers, and its range is all positive real numbers (0, ∞). As x approaches negative infinity, e^x approaches 0, and thus |e^x| also approaches 0. As x approaches positive infinity, e^x grows without bound, and so does |e^x|. The function is continuous and differentiable for all real numbers. While not as commonly encountered as the basic exponential or absolute value functions individually, ExponentialAbs serves as a straightforward combination of these fundamental concepts.