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

question 147

Multiple Choice

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. \(f(-6)=0\)