graphing exponential function
posted by Jen .
P(x) = (xa)^4 (xb)^3 (xc)
where a>0, b<0, c>0, a<c
How do I sketch a graph of this?
Thanks
First you put the points a, b and c on the xaxis, doesn't matter precisely where, as long as it satisfies the conditions: a>0, b<0, c>0, a<c.
Then you use the fact that at a, b and c the function is zero. At b and c, the function changes sign, so it crosses the xaxis, but at x = a, there is no change of sign, there the function just touches the xaxis.
At x = c, the function crosses the xaxis at a nonzero angle. But at x = b, the fuction crosses the xaxis at zero angle. I.e. the function touches the xaxis there but unlike at point x = a, it does cross the xaxis.
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