SOLUTION: Sketch by hand F(x) = -2x^3 +6x^2 + 18x -54, including the algebraic calculations of a) x- & y- intercepts b) relative maxima and minima c) points of intersection

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Question 167060: Sketch by hand
F(x) = -2x^3 +6x^2 + 18x -54, including the algebraic calculations of
a) x- & y- intercepts
b) relative maxima and minima
c) points of intersection

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!

a) X-intercepts
Looks like x=3 and x=-3 are intercepts.
Plug those values into the equation and check.




Yes, x=3 and x=-3 are the x-intercepts.
Y-intercept: Set x=0.


The y intercept is y=-54.
.
.
.
b) Looks like a relative maxima at x=3, y=0.
Also, looks like a relative minima at x=-1,y=2+6-18-54=-64.
.
.
.
c) Intersection with what?

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