Unit 8 Rationals Test Review
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a rational function?
Back
A rational function is a function that can be expressed as the quotient of two polynomials, where the denominator is not zero.
2.
FLASHCARD QUESTION
Front
What is the process to solve a rational equation?
Back
To solve a rational equation, find a common denominator, eliminate the denominators by multiplying both sides by it, and then solve the resulting polynomial equation.
3.
FLASHCARD QUESTION
Front
What is an asymptote in the context of rational functions?
Back
An asymptote is a line that a graph approaches but never touches. There are vertical, horizontal, and slant asymptotes.
4.
FLASHCARD QUESTION
Front
How do you find vertical asymptotes of a rational function?
Back
Vertical asymptotes occur where the denominator of the rational function is equal to zero, provided the numerator is not also zero at those points.
5.
FLASHCARD QUESTION
Front
What is a slant (oblique) asymptote?
Back
A slant asymptote occurs when the degree of the numerator is exactly one more than the degree of the denominator. It can be found using polynomial long division.
6.
FLASHCARD QUESTION
Front
How do you subtract rational expressions?
Back
To subtract rational expressions, find a common denominator, rewrite each fraction with that denominator, and then subtract the numerators.
7.
FLASHCARD QUESTION
Front
What is the formula for finding the average speed of a canoe in still water given upstream and downstream speeds?
Back
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