What are the distinct features of rational function, rational equation and rational inequality? 1. Rational Function 2. Rational Equation 3. Rational Inequality


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Answer:

  1. Rational function - A rational function is defined as the quotient of polynomials in which the denominator has a degree of at least 1 . In other words, there must be a variable in the denominator. The general form of a rational function is p(x)q(x) , where p(x) and q(x) are polynomials and q(x)≠0 .

2.Rational Equation - A rational equation is an equation containing at least one fraction whose numerator and denominator are polynomials, \frac{P(x)}{Q(x)}. Q(x)P(x). These fractions may be on one or both sides of the equation.

3.Rational Inequality - A rational inequality is an inequality which contains a rational expression. The trick to dealing with rational inequalities is to always work with zero on one side of the inequality. ... A rational expression changes its sign only at its zeros and its undefined values.