Use the Maximum/minimum Finder on a Graphing Calculator to Determine $f(x)=0.01 x^{5}-x^{4}+x^{3}+8 x^{2}-7 x+87$

Use the maximum/minimum finder on a graphing calculator to determine the approximate location of all local extrema.
- $f(x) =0.01 x^{5}-x^{4}+x^{3}+8 x^{2}-7 x+87$

A) Approximate local maxima at -1.861 and 2.247 ; approximate local minimum at 0.423
B) Approximate local maxima at -1.85 and 2.165 ; approximate local minima at 0.445 and 79.11
C) Approximate local maxima at -1.864 and 2.282 ; approximate local minima at 0.373 and 79.195
D) Approximate local maxima at -1.861 and 2.247 ; approximate local minima at 0.423 and 79.192