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Sketch the Graph of a Function F Which Has the Following

Question 126

Multiple Choice

Sketch the graph of a function f which has the following properties.
- $\mathrm{f}^{\prime}(\mathrm{x}) <0$ for $\mathrm{x}<-3$
$f^{\prime}(x) =0$ at $x=-3$
$\mathrm{f}^{\prime}(\mathrm{x}) >0$ for $-3<\mathrm{x}<2$
$f^{\prime}(x) =0$ at $x=2$
$\mathrm{f}^{\prime}(\mathrm{x}) <0$ for $\mathrm{x}>2$
$Sketch the graph of a function f which has the following properties. - \mathrm{f}^{\prime}(\mathrm{x}) <0 for \mathrm{x}<-3 f^{\prime}(x) =0 at x=-3 \mathrm{f}^{\prime}(\mathrm{x}) >0 for -3<\mathrm{x}<2 f^{\prime}(x) =0 at x=2 \mathrm{f}^{\prime}(\mathrm{x}) <0 for \mathrm{x}>2 A) B) C) D)$

A) $Sketch the graph of a function f which has the following properties. - \mathrm{f}^{\prime}(\mathrm{x}) <0 for \mathrm{x}<-3 f^{\prime}(x) =0 at x=-3 \mathrm{f}^{\prime}(\mathrm{x}) >0 for -3<\mathrm{x}<2 f^{\prime}(x) =0 at x=2 \mathrm{f}^{\prime}(\mathrm{x}) <0 for \mathrm{x}>2 A) B) C) D)$
B) $Sketch the graph of a function f which has the following properties. - \mathrm{f}^{\prime}(\mathrm{x}) <0 for \mathrm{x}<-3 f^{\prime}(x) =0 at x=-3 \mathrm{f}^{\prime}(\mathrm{x}) >0 for -3<\mathrm{x}<2 f^{\prime}(x) =0 at x=2 \mathrm{f}^{\prime}(\mathrm{x}) <0 for \mathrm{x}>2 A) B) C) D)$
C) $Sketch the graph of a function f which has the following properties. - \mathrm{f}^{\prime}(\mathrm{x}) <0 for \mathrm{x}<-3 f^{\prime}(x) =0 at x=-3 \mathrm{f}^{\prime}(\mathrm{x}) >0 for -3<\mathrm{x}<2 f^{\prime}(x) =0 at x=2 \mathrm{f}^{\prime}(\mathrm{x}) <0 for \mathrm{x}>2 A) B) C) D)$
D) $Sketch the graph of a function f which has the following properties. - \mathrm{f}^{\prime}(\mathrm{x}) <0 for \mathrm{x}<-3 f^{\prime}(x) =0 at x=-3 \mathrm{f}^{\prime}(\mathrm{x}) >0 for -3<\mathrm{x}<2 f^{\prime}(x) =0 at x=2 \mathrm{f}^{\prime}(\mathrm{x}) <0 for \mathrm{x}>2 A) B) C) D)$