Question 863507: Graph the following polynomial function. Discuss the graph: domain, range, y-intercept, zero(s), max/min points, intervals where 'f' increases/decreases, and where 'f' is positive, negative, even/odd. neither.
min/max point occurs at x=2, 0.6 and 2.7
Answer by josgarithmetic(39620)   (Show Source):
You can put this solution on YOUR website! Domain: All real numbers.
Range: Check this using your known x values for the extreme points.
y-intercept: When x=0, 0(-3)(-2)(-2)=0.
Zeros: The function is already in factored form. Read the zeros directly. They are at x equals 0, 3, 2.
You should know some typical behavior of a degree four polynomial function which helps to determine intervals of increase and decrease. The multiplicity of 2 for the zero at x=2 needs more care regarding function increase or decrease.
( A graph WAS placed here but would not display correctly ).
( Another graph try ):
Still not displaying properly. ... posting anyway.
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