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Set the argument in ln(x) ln (x) greater than 0 0 to find where the expression is defined. The domain is all values of x x that make the expression defined. The range is the set of all valid y y values. Use the graph to find the range. Determine the domain and range.
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Free Domain and Range Calculator helps you find the input and output values of functions. Answers, graphs and number lines.
Let f (x) = ln(x); f 0(x) = 1=x which is always positive for x > 0 (the domain of f ), Therefore the graph of. (x) is increasing on its domain. We have f 00(x) = 1 which is x2 always negative, showing that the graph of f (x) is concave down. The function f is continuous since it is di erentiable.
Free Online functions domain and range calculator - find functions domain and range step-by-step
22 Απρ 2023 · The domain of $\ln(x)$ is $x>0$, which means that $x$ can only accept positive real values. The natural logarithm, represented by $\ln x$, is the logarithm having the base $e$. This complete guide will teach you about natural logarithms, their domains, and ranges.