SOLUTION: Given the graph of the function y=x^3-3x^2-6x+8, answer the following All answers must be rounded properly to one decimal place Here are the plotted points on the graph: (-0.732

Question 1174623: Given the graph of the function y=x^3-3x^2-6x+8, answer the following
All answers must be rounded properly to one decimal place
Here are the plotted points on the graph: (-0.732, 10.392) (-2, 0) (1,0) (4,0) (2.732,-10.392)
what is the relative min, and what is the relative maximum?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

first graph it

A relative point is a point where the function changes direction from to (making that point a "peak" in the graph).
Similarly, a relative point is a point where the function changes direction from to (making that point a "bottom" in the graph).
If has a relative extrema at and ′ (or ′ ) exists then is a critical point of . In fact, it will be a critical point such that ′
find ′
′=
find
........simplify, both sides divide by
.....use quadratic formula

.......simplify

Extreme Points of are:
Maximum at (, ) or (, )
Minimum at (, ) or (,)

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