Chapter 9: Rational Expressions & Equations
2 nov 2016 · Skills Practice Graphing Rational Functions DATE PERIOD Practice Solving Rational Equations and Inequalities Solve each equation or |
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Skills Practice Solving Rational Equations and Inequalities NAME Practice Solving Rational Equations and Inequalities NAME |
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PERIOD NAME 9-6 Skills Practice DATE Mar Solving Rational Equations and Inequalities Solve each equation or inequality Check your solutions |
A rational inequality is an inequality that contains a rational expression.
Inequalities such as 3 2 x > 1 , 2 x x − 3 < 4 , 2 x − 3 x − 6 ≥ x , 3 2 x > 1 , 2 x x − 3 < 4 , 2 x − 3 x − 6 ≥ x , and 1 4 − 2 x 2 ≤ 3 x 1 4 − 2 x 2 ≤ 3 x are rational inequalities as they each contain a rational expression.
Examples of Rational Functions
The function R(x) = (x^2 + 4x - 1) / (3x^2 - 9x + 2) is a rational function since the numerator, x^2 + 4x - 1, is a polynomial and the denominator, 3x^2 - 9x + 2 is also a polynomial.
Domains of Rational Functions
The domain of a rational function includes all real numbers except those that cause the denominator to equal zero.
How To: Given a rational function, find the domain.
Set the denominator equal to zero.
Solve to find the x-values that cause the denominator to equal zero.
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8-6 Skills Practice. Solving Rational Equations and Inequalities. Solve each equation or inequality. Check your solutions. |
Chapter 9: Rational Expressions and Equations
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Solving Rational Equations
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Solving Rational Equations
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Rational Expressions and Rational Equations
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Chapter 12: Rational Expressions and Equations
rational expressions and solving rational equations in Chapter 12. 6. 1. 5. 24. 4t. 9. 5. 7. 25. x2 x. 56 0. 26. x2. 2x. 8 ... Practice and Apply. |
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