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Function: |
\( \displaystyle f(x) = \beta_0 + \beta_1x + \beta_2x^2, \ \ \beta_2 \neq 0\)
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Function Family: |
Polynomial |
Statistical Type: |
Linear |
Domain: |
\( \displaystyle (-\infty, \ \infty) \)
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Range: |
\( \displaystyle
\left\{
\begin{array}{ll}
\left(-\infty, \ \beta_0-\frac{\beta_1^2}{4\beta_2}\right] & \mbox{for $\beta_2 < 0$} \\
& \\
\left[\beta_0-\frac{\beta_1^2}{4\beta_2}, \ \infty\right) & \mbox{for $\beta_2 > 0$}
\end{array}
\right. \)
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Special Features: |
None
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Additional Examples: |
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