Engineering Statistics Handbook Episode 6 Part 8 pdf

4.8.1.2.5. Quadratic / Quadratic Rational Function http://www.itl.nist.gov/div898/handbook/pmd/section8/pmd8125.htm (7 of 7) [5/1/2006 10:23:09 AM] Function Family: Rational Statistical Type: Nonlinear Domain: Range: Special Features: Vertical asymptote at: Additional Examples: 4.8.1.2.6. Cubic / Linear Rational Function http://www.itl.nist.gov/div898/handbook/pmd/section8/pmd8126.htm (2 of 6) [5/1/2006 10:23:10 AM] 4.8.1.2.6. Cubic / Linear Rational Function http://www.itl.nist.gov/div898/handbook/pmd/section8/pmd8126.htm (3 of 6) [5/1/2006 10:23:10 AM] 4.8.1.2.6. Cubic / Linear Rational Function http://www.itl.nist.gov/div898/handbook/pmd/section8/pmd8126.htm (4 of 6) [5/1/2006 10:23:10 AM] 4.8.1.2.6. Cubic / Linear Rational Function http://www.itl.nist.gov/div898/handbook/pmd/section8/pmd8126.htm (5 of 6) [5/1/2006 10:23:10 AM] 4.8.1.2.6. Cubic / Linear Rational Function http://www.itl.nist.gov/div898/handbook/pmd/section8/pmd8126.htm (6 of 6) [5/1/2006 10:23:10 AM] Function Family: Rational Statistical Type: Nonlinear 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 http://www.itl.nist.gov/div898/handbook/pmd/section8/pmd8127.htm (2 of 6) [5/1/2006 10:23:11 AM] 4.8.1.2.7. Cubic / Quadratic Rational Function http://www.itl.nist.gov/div898/handbook/pmd/section8/pmd8127.htm (3 of 6) [5/1/2006 10:23:11 AM] 4.8.1.2.7. Cubic / Quadratic Rational Function http://www.itl.nist.gov/div898/handbook/pmd/section8/pmd8127.htm (4 of 6) [5/1/2006 10:23:11 AM] [...]... http://www.itl.nist.gov/div8 98 /handbook/ pmd/section8/pmd81 28. htm (2 of 5) [5/1/20 06 10:23:11 AM] 4 .8. 1.2 .8 Linear / Cubic Rational Function http://www.itl.nist.gov/div8 98 /handbook/ pmd/section8/pmd81 28. htm (3 of 5) [5/1/20 06 10:23:11 AM] 4 .8. 1.2 .8 Linear / Cubic Rational Function http://www.itl.nist.gov/div8 98 /handbook/ pmd/section8/pmd81 28. htm (4 of 5) [5/1/20 06 10:23:11 AM] 4 .8. 1.2 .8 Linear / Cubic Rational Function http://www.itl.nist.gov/div8 98 /handbook/ pmd/section8/pmd81 28. htm...4 .8. 1.2.7 Cubic / Quadratic Rational Function http://www.itl.nist.gov/div8 98 /handbook/ pmd/section8/pmd8127.htm (5 of 6) [5/1/20 06 10:23:11 AM] 4 .8. 1.2.7 Cubic / Quadratic Rational Function http://www.itl.nist.gov/div8 98 /handbook/ pmd/section8/pmd8127.htm (6 of 6) [5/1/20 06 10:23:11 AM] 4 .8. 1.2 .8 Linear / Cubic Rational Function Function Family: Rational... 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: http://www.itl.nist.gov/div8 98 /handbook/ pmd/section8/pmd81 28. htm... http://www.itl.nist.gov/div8 98 /handbook/ pmd/section8/pmd81 28. htm (4 of 5) [5/1/20 06 10:23:11 AM] 4 .8. 1.2 .8 Linear / Cubic Rational Function http://www.itl.nist.gov/div8 98 /handbook/ pmd/section8/pmd81 28. htm (5 of 5) [5/1/20 06 10:23:11 AM] ... 10:23:11 AM] 4 .8. 1.2 .8 Linear / Cubic Rational Function Function Family: Rational Statistical Type: Nonlinear 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 . Function http://www.itl.nist.gov/div8 98 /handbook/ pmd/section8/pmd81 26. htm (3 of 6) [5/1/20 06 10:23:10 AM] 4 .8. 1.2 .6. Cubic / Linear Rational Function http://www.itl.nist.gov/div8 98 /handbook/ pmd/section8/pmd81 26. htm (4 of 6) . Function http://www.itl.nist.gov/div8 98 /handbook/ pmd/section8/pmd81 28. htm (3 of 5) [5/1/20 06 10:23:11 AM] 4 .8. 1.2 .8. Linear / Cubic Rational Function http://www.itl.nist.gov/div8 98 /handbook/ pmd/section8/pmd81 28. htm (4. Function http://www.itl.nist.gov/div8 98 /handbook/ pmd/section8/pmd8127.htm (3 of 6) [5/1/20 06 10:23:11 AM] 4 .8. 1.2.7. Cubic / Quadratic Rational Function http://www.itl.nist.gov/div8 98 /handbook/ pmd/section8/pmd8127.htm (4 of 6)