The STEP5(x,x0,h0,x1,h1) function returns an approximation of a step function by a fifth order polynomial.
Arguments
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x
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The independent variable. You can enter a valid expression for the independent variable such as 2*TIME.
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x0
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The value of the independent variable at which the function begins.
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h0
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The value of the function at x0.
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x1
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The value of the independent variable at which the function ends.
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h1
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The value of the function value at x1.
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Function Definition
α = (h1-h0)
Λ(x) = (x-x0)/(x1-x0)
STEP5(x,x0,h0,x1,h1) =
h0
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x ≤ x0
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h0+α*((Λ(x))3*(10-15*Λ(x)+6*(Λ(x))2))
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x0 < x < x1
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h1
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x ≥ x1
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