Given $f(x)=x^{2}+6 x$ (A) Find the Intervals on Which F Is Increasing

Given $f(x) =x^{2}+6 x$ . (a) Find the intervals on which f is increasing or decreasing.
(b) Find the relative maxima and relative minima of f.

A) (a) Increasing on $(-3, \infty)$ ,
Decreasing on $(-\infty,-3)$
(b) Rel. min. $f(-3) =-9$
B) (a) Increasing on $(-\infty,-3)$ ,
Decreasing on $(-3, \infty)$
(b) Rel. max. $f(-3) =-9$
C) (a) Increasing on $(-6, \infty)$ ,
Decreasing on $(-\infty,-6)$
(b) Rel. min. $f(-6) =0$
D) (a) Increasing on $(-\infty,-6)$ ,
Decreasing on $(-6, \infty)$
(b) Rel. max. $f(-6) =0$

Correct Answer:

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