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Graph the function f (x) = -x^6 - 5 x^5 + 49 x^4 + 122 x^3 - 315 x^2 - 900 x + 12,000. Then...

Question:

Graph the function {eq}\displaystyle f (x) = -x^6 - 5 x^5 + 49 x^4 + 122 x^3 - 315 x^2 - 900 x + 12,000 {/eq}. Then estimate any relative extrema.

Graphs:

When in the question if it is asked to plot the curve and estimate the relative extremes, then we use the same plot where the curve is shown, to plot the extreme points.

Answer and Explanation:


The graph of the function is shown below:


Figure


The relative extremas are also shown.


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Graphs: Types, Examples & Functions

from High School Algebra II: Help and Review

Chapter 16 / Lesson 11
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