Engineering Statistics Handbook Episode 6 Part 8 pdf

Statistical Domain: Range: Special Features: Vertical asymptote at: Additional Examples: 4.8.1.2.6... Cubic / Linear Rational Function... Family: Rational Statistical Domain: with undefi

4.8.1.2.5 Quadratic / Quadratic Rational Function

Statistical

Domain:

Range:

Special

Features: Vertical asymptote at:

Additional

Examples:

4.8.1.2.6 Cubic / Linear Rational Function

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4.8.1.2.6 Cubic / Linear Rational Function

4.8.1.2.6 Cubic / Linear Rational Function

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4.8.1.2.6 Cubic / Linear Rational Function

4.8.1.2.6 Cubic / Linear Rational Function

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Family: Rational

Statistical

Domain:

with undefined points at

There will be 0, 1, or 2 real solutions to this equation corresponding to whether

is negative, zero, or positive.

Range:

Special

Features:

Vertical asymptotes at:

There will be 0, 1, or 2 real solutions to this equation corresponding to whether

is negative, zero, or positive.

Additional

Examples:

4.8.1.2.7 Cubic / Quadratic Rational Function

4.8.1.2.7 Cubic / Quadratic Rational Function

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4.8.1.2.7 Cubic / Quadratic Rational Function

4.8.1.2.7 Cubic / Quadratic Rational Function

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4.8.1.2.7 Cubic / Quadratic Rational Function

Family: Rational

Statistical

Domain:

with undefined points at the roots of

There will be 1, 2, or 3 roots, depending on the particular values of the parameters Explicit solutions for the roots of a cubic polynomial are complicated and are not given here Many mathematical and statistical software programs can determine the roots of a polynomial equation numerically, and it is recommended that you use one

of these programs if you need to know where these roots occur.

Range:

with the possible exception that zero may be excluded.

Special

Features:

Horizontal asymptote at:

and vertical asymptotes at the roots of

There will be 1, 2, or 3 roots, depending on the particular values of the parameters Explicit solutions for the roots of a cubic polynomial are complicated and are not given here Many mathematical and statistical software programs can determine the roots of a polynomial equation numerically, and it is recommended that you use one

of these programs if you need to know where these roots occur.

Additional

Examples:

4.8.1.2.8 Linear / Cubic Rational Function

http://www.itl.nist.gov/div898/handbook/pmd/section8/pmd8128.htm (2 of 5) [5/1/2006 10:23:11 AM]

4.8.1.2.8 Linear / Cubic Rational Function

4.8.1.2.8 Linear / Cubic Rational Function

http://www.itl.nist.gov/div898/handbook/pmd/section8/pmd8128.htm (4 of 5) [5/1/2006 10:23:11 AM]

4.8.1.2.8 Linear / Cubic Rational Function