NEW FUNCTION

Function Expression :

\[f(x)=\sqrt{3-(x+2 )} \]

Domain

\[\left]-\infty, 1\right] \]

Limits

\[\lim_{x \rightarrow-\infty}f(x) = +\infty \]
\[\lim_{x \overset{<}{\rightarrow1} }f(x) = 0 \]
\[ \]

Derivate

\[f^{\,\prime}(x)=- \frac{1}{2 \sqrt{3 - \left(x + 2\right)}} \]
\[f^{\,\prime}(x)=- \frac{1}{2 \sqrt{1 - x}} \]
\[ \]

Integral

\[F(x) = - \frac{2 \left(3 - \left(x + 2\right)\right)^{\frac{3}{2}}}{3} \]

Sign Table

Variation Table

Plot

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