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Function: |
\( \displaystyle
f(x) = \frac{\beta_0 + \beta_1x + \beta_2x^2 + \beta_3x^3}{1 + \beta_4x}, \ \ \beta_3 \neq 0, \ \beta_4 \neq 0 \)
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Function Family: |
Rational |
Statistical Type: |
Nonlinear |
Domain: |
\( \displaystyle \left( -\infty, \ -\frac{1}{\beta_4} \right) \ \cup \ \left( -\frac{1}{\beta_4}, \ \infty \right) \)
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Range: |
\( \displaystyle (-\infty, \infty) \)
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Special Features: |
Vertical asymptote at:
\( \displaystyle x = -\frac{1}{\beta_4} \)
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Additional Examples: |
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