Monday, November 16, 2009

The Logistic Function y= 1/(1+e^-x)


Domain: (-∞,∞)
Range: (0,1)
Continuity: Continuous
Boundedness: Bounded above and below
Symmetry: Neither
End Behavior: lim = 0 x-> -∞
lim = 1 x-> ∞

The Reciprocal Function y=1/x


Domain: (-∞, 0) (0, ∞)
Range: (-∞, 0) (0, ∞)
Continuity: Infinite
Boundedness: not Bounded
Symmetry: Odd
End Behavior: lim= 0 x -> -∞
lim= 0 x -> ∞

The Squaring Function y=x^2


Domain: (-∞,∞)
Range: [0,∞)
Continuity: Continuous
Boundedness: Bounded Below
Symmetry: Even
End behavior: lim = ∞ x -> -∞
lim = ∞ x -> ∞