Use the maximum/minimum finder on a graphing calculator to determine the approximate location of all local extrema.
-$$f ( x ) = x ^ { 4 } - 3 x ^ { 3 } - 21 x ^ { 2 } + 74 x - 41$$
A) Approximate local maximum at 1.604; approximate local minima at -3.089 and 3.735
B) Approximate local maximum at 1.649; approximate local minima at -3.098 and 3.768
C) Approximate local maximum at 1.541; approximate local minima at -3.113 and 3.799
D) Approximate local maximum at 1.593; approximate local minima at -3.004 and 3.645

Question

Quizplus · Accepted Answer

Using a graphing calculator to find the local extrema of the given function, the approximate local maximum is at $x = 1.604$, and the approximate local minima are at $x = -3.089$ and $x = 3.735$.

Use the Maximum/minimum Finder on a Graphing Calculator to Determine f(x)=x4−3x3−21x2+74x−41f ( x ) = x ^ { 4 } - 3 x ^ { 3 } - 21 x ^ { 2 } + 74 x - 41f(x)=x4−3x3−21x2+74x−41

Use the Maximum/minimum Finder on a Graphing Calculator to Determine $f ( x ) = x ^ { 4 } - 3 x ^ { 3 } - 21 x ^ { 2 } + 74 x - 41$