Find the largest open intervals where the function is concave upward.
-$f(x)=x^{3}+3 x^{2}-9 x+5$
A) None
B) $(-1, \infty),(-\infty,-1)$
C) $(-1, \infty)$
D) $(-\infty,-1)$

Name: Find the largest open intervals where the function is concave upward. -$f(x)=x^{3}+3 x^{2}-9 x+5$ A) None B) $(-1, \infty),(-\infty,-1)$ C) $(-1, \infty)$ D) $(-\infty,-1)$
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Question

Quizplus · Accepted Answer

The second derivative is $f''(x)=6x+6$, which is positive for all $x$. So the function is concave upward on the entire real line.

Find the Largest Open Intervals Where the Function Is Concave f(x)=x3+3x2−9x+5f(x)=x^{3}+3 x^{2}-9 x+5f(x)=x3+3x2−9x+5

Find the Largest Open Intervals Where the Function Is Concave $f(x)=x^{3}+3 x^{2}-9 x+5$