Posted by Nadia on Tuesday, November 20, 2007 at 10:51pm.
how do you graph the function?
f(x)=2(x+2)^2(x+4)^2

Algebra 2  Reiny, Tuesday, November 20, 2007 at 11:05pm
visualize the function as
f(x) = 2(x+2)(x+2)(x+4)(x+4)
which would make it a fourth degree function.
Fourth degree functions tend to look like a "W" in their general form, anyway they "rise" into the first and second quadrants.
notice there are double roots at x=2 and x=4, so the curve 'touches' the xaxis at 2 and 4 without crossing
What does it do between 2 and 4?
Try x=3, f(3) = 2
try f(0), you get f(0) = 128
Can you see the "W" ?
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