Function Expression :
\[f(x)=x-2+2e^{\frac{-x}{2}} \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = +\infty \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=1 - e^{\frac{\left(-1\right) x}{2}} \]\[f^{\,\prime}(x)=1 - e^{- \frac{x}{2}} \]
\[f^{\,\prime}(x)=\left(e^{\frac{x}{2}} - 1\right) e^{- \frac{x}{2}} \]
Integral
\[F(x) = \frac{x^{2}}{2} - 2 x - 4 e^{- \frac{x}{2}} \]Sign Table
Variation Table
Plot
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