For every value of x,the function f(x) = e^x | vedclass

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(B) Given the function $f(x) = e^x$. To determine if the function is increasing or decreasing,we find its derivative with respect to $x$. $f'(x) = \fr

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Increasing

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(B) Given the function $f(x) = e^x$. To determine if the function is increasing or decreasing,we find its derivative with respect to $x$. $f'(x) = \frac{d}{dx}(e^x) = e^x$. Since the exponential function $e^x$ is always positive for all real values of $x$ (i.e.,$e^x > 0$ for all $x \in \mathbb{R}$),it follows that $f'(x) > 0$ for all $x$. Since the derivative $f'(x)$ is strictly greater than $0$ for all $x$,the function $f(x) = e^x$ is an increasing function for all values of $x$.

For every value of $x$,the function $f(x) = e^x$ is:

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