Use the maximum/minimum finder on a graphing calculator to determine the approximate location of all local extrema.
-$$f ( x ) = 0.1 x ^ { 5 } + 5 x ^ { 4 } - 8 x ^ { 3 } - 15 x ^ { 2 } - 6 x + 77$$
A) Approximate local maxima at -41.034 and -0.291; approximate local minima at -0.602 and 1.934
B) Approximate local maxima at -41.132 and -0.273; approximate local minima at -0.547 and 1.952
C) Approximate local maxima at -41.2 and -0.186; approximate local minima at -0.569 and 2.02
D) Approximate local maxima at -41.183 and -0.173; approximate local minima at -0.466 and 1.871

Question

Quizplus · Accepted Answer

The correct answer is determined by using a graphing calculator's maximum/minimum finder feature on the given polynomial function. This tool helps identify the x-values where the function's slope changes from positive to negative (local maxima) and from negative to positive (local minima). The specific values can vary slightly depending on the calculator's accuracy and the method used for estimation. Option B provides a set of values that are plausible results of such a calculation, assuming typical calculator precision and rounding.

Use the Maximum/minimum Finder on a Graphing Calculator to Determine f(x)=0.1x5+5x4−8x3−15x2−6x+77f ( x ) = 0.1 x ^ { 5 } + 5 x ^ { 4 } - 8 x ^ { 3 } - 15 x ^ { 2 } - 6 x + 77f(x)=0.1x5+5x4−8x3−15x2−6x+77

Use the Maximum/minimum Finder on a Graphing Calculator to Determine $f ( x ) = 0.1 x ^ { 5 } + 5 x ^ { 4 } - 8 x ^ { 3 } - 15 x ^ { 2 } - 6 x + 77$