What is a rational equation?
Rational Word Problems and graphs

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A rational equation is an equation that involves at least one rational expression, which is a fraction where the numerator and/or denominator are polynomials.
2.
FLASHCARD QUESTION
Front
How do you find the common denominator in rational expressions?
Back
To find the common denominator, identify the least common multiple (LCM) of the denominators of the rational expressions involved.
3.
FLASHCARD QUESTION
Front
What is an asymptote in a graph?
Back
An asymptote is a line that a graph approaches but never touches. It can be vertical, horizontal, or oblique.
4.
FLASHCARD QUESTION
Front
How do you solve a rational equation?
Back
To solve a rational equation, first find a common denominator, multiply both sides by it to eliminate the fractions, and then solve the resulting equation.
5.
FLASHCARD QUESTION
Front
What is the significance of the vertical asymptote?
Back
The vertical asymptote indicates the values of x where the function is undefined and the graph approaches infinity.
6.
FLASHCARD QUESTION
Front
What does it mean for a function to be undefined?
Back
A function is undefined at points where the denominator of a rational expression equals zero.
7.
FLASHCARD QUESTION
Front
How do you determine the horizontal asymptote of a rational function?
Back
The horizontal asymptote can be determined by comparing the degrees of the numerator and denominator polynomials.
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