Determine where the local and absolute maxima and minima occur on the given graph of $f\left(x\right)$.

• A. Absolute max of 5 at $x=4$, Local max of 4 at $x=-3$, Absolute min of $-2$ at $x=1$, Local min of $-2$ at $x=1$ & 1.5 at $x=-4.5$
• B. Absolute max of 5 at $x=4$, Absolute min of $-2$ at $x=1$, No local extrema
• C. Absolute max of 4 at $x=-3$, Local max of 4 at $x=-3$, Absolute min of $-2$ at $x=1$, Local min of $-2$ at $x=1$
• D. Absolute max of 5 at $x=4$, Local max of 4 at $x=-3$, Absolute min of $-2$ at $x=1$, Local min of $-2$ at $x=1$

Answer: (D)