Use the maximum/minimum finder on a graphing calculator to determine the approximate location of all local extrema.
-$$f ( x ) = 0.1 x ^ { 4 } - x ^ { 3 } - 15 x ^ { 2 } + 59 x + 8$$
A) Approximate local maximum at 1.805; approximate local minima at -6.72 and 12.449
B) Approximate local maximum at 1.703; approximate local minima at -6.754 and 12.588
C) Approximate local maximum at 1.735; approximate local minima at -6.777 and 12.542
D) Approximate local maximum at 1.77; approximate local minima at -6.771 and 12.53

Question

Quizplus · Accepted Answer

Using the maximum/minimum finder on a graphing calculator, we get an approximate local maximum at x = 1.735 and approximate local minima at x = -6.777 and x = 12.542. These values match with the given options in choice C.

Use the Maximum/minimum Finder on a Graphing Calculator to Determine f(x)=0.1x4−x3−15x2+59x+8f ( x ) = 0.1 x ^ { 4 } - x ^ { 3 } - 15 x ^ { 2 } + 59 x + 8f(x)=0.1x4−x3−15x2+59x+8

Use the Maximum/minimum Finder on a Graphing Calculator to Determine $f ( x ) = 0.1 x ^ { 4 } - x ^ { 3 } - 15 x ^ { 2 } + 59 x + 8$