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MathGroup Archive 2008

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One thing in two ways, with different result.

  • To: mathgroup at smc.vnet.net
  • Subject: [mg90099] One thing in two ways, with different result.
  • From: damayi <damayi at gmail.com>
  • Date: Sat, 28 Jun 2008 05:55:50 -0400 (EDT)

Dear all,
Today I encountered a confused question, and I hope you can help me.
I defined a function g[x] in the following and Plot it.
g[x_] := x^3 /; x <= 0
g[x_] := x /; 0 < x <= 1
g[x_] := Sin[x] /; x > 1

Then I defined another function f[x] that is the same as g[x] in my
opinion, and Plot it.
f[x_] := Piecewise[{{x^3, x <= 0}, {x, 0 < x <= 1}, {Sin[x], x > 1}}]

You will find that Plot[g[x],{x,-2,3}] is different with Plot[f[x],
{x,-2,3] when x is 1.0

Since g[x] and f[x] are identify, why are these plot different ?
By the way, my Mathematica is 6.0.2.

Best Regards
mayi
2008-6-27


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