(5.3) For each of the following functions identify all intervals where the graph of $$ f $$ is concave up and all intervals where the graph is concave down. Also find the $$ x $$ and $$ y $$ coordinates of any inflection points. (a) $$ f(x)=x^{3}-6 x^{2}-15 x+7 $$

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Clarke Watson · Accepted Answer

Concave down on $$ (-\infty, 2) $$, concave up on $$ (2, \infty) $$, inflection point at $$ (2, -39) $$.

(5.3) For each of the following functions identify all intervals where the graph of \( f \) is concave up and all intervals where the graph is concave down. Also find the \( x \) and \( y \) coordinates of any inflection points. (a) \( f(x)=x^{3}-6 x^{2}-15 x+7 \)

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(5.3) For each of the following functions identify all intervals where the graph of \( f \) is concave up and all intervals where the graph is concave down. Also find the \( x \) and \( y \) coordinates of any inflection points. (a) \( f(x)=x^{3}-6 x^{2}-15 x+7 \)

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