Function Expression :
\[f(x)=(x+2 )e^{x-4}-2 \]Domain
\[]-\infty ;+\infty [ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = -2 \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=\left(x + 2\right) e^{x - 4} + e^{x - 4} \]\[f^{\,\prime}(x)=\left(x + 3\right) e^{x - 4} \]
\[ \]
Integral
\[F(x) = - 2 x + \left(x + 1\right) e^{x - 4} \]Sign Table
Variation Table
Plot
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