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Rational Expressions and Functions

A series of free Intermediate Algebra Video Lessons from Brightstorm online Algebra series.

 

 

Solving Rational Equations
Solving rational equations is substantially easier with like denominators. When solving rational equations, first multiply every term in the equation by the common denominator so the equation is "cleared" of fractions. Next, use an appropriate technique for solving for the variable.

 

 

Graphing Rational Functions
The graph of a basic rational function (1/x) is easy to do by plotting key points. When graphing rational functions, the functions are asymptotic to either the x-axis and y-axis or to certain lines if there are shifts in the graphs. More complex graphs of rational functions include functions with graph shifts.

 

 

Solving a Rational Equation for a parameter
Solving rational equations is substantially easier with like denominators. When solving equations with rational numbers, we first multiply every term in the equation by the common denominator so the equation is "cleared" of fractions. Next, we use an appropriate technique for solving for the variable, such as isolating and simplifying.

 

 

 

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