DIFFERENCE OF RATIONAL FUNCTION,INEQUALITY AND EQUATION

GEN-MATH 11

- RATIONAL FUNCTIONS

TOPIC:

- RATIONAL EQUATIONS

- RATIONAL INEQUALITIES

RATIONAL EXPRESSION

- is an expression that can be written as a ratio of two polynomials. - can be described as a function where either the numerator, denominator, or both have a variable on it.

RATIONAL EQUATION

- An equation involving Rational expressions. EXAMPLE:

" EQUATION "

RATIONAL INEQUALITY

- An inequality involving rational expressions. EXAMPLE:

RATIONAL FUNCTION

- A function of the form f(x) = p(x) / q(x) where p(x) and q(x) are polynomial functions and q(x) is not the zero function. (i.e., q(x) not equal to zero). EXAMPLE:

RATIONAL FUNCTIONS, EQUATIONS and inequalities

- a rational equation or inequality can be solved for all x values that satisfy the equation or inequality. - a rational function expresses a relationship between two variables (such as x and y) and can be represented by a table of values or graph.

practice exercise !

- determine whether the the given is a rational function, rational equation, a rational inequality or none of these.

Thanks!