Use Calculus and a Graphing Calculator to Find the Approximate $f(x)=x^{4}-4 x^{3}-53 x^{2}-86 x-43$

Multiple Choice

Use calculus and a graphing calculator to find the approximate location of all relative extrema.
- $f(x) =x^{4}-4 x^{3}-53 x^{2}-86 x-43$

A) Approximate local maximum at 0.93 ; approximate local minima at -3.123 and 7.129
B) Approximate local maximum at -0.944 ; approximate local minima at -3.192 and 7.136
C) Approximate local maximum at 1.019; approximate local minima at -3.107 and 7.153
D) Approximate local maximum at 0.85 ; approximate local minima at -3.14 and 7.176