Rational Functions
Flashcard
•
Mathematics
•
9th - 11th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a rational function?
Back
Tags
CCSS.HSF-IF.C.7D
2.
FLASHCARD QUESTION
Front
What are vertical asymptotes?
Back
Vertical asymptotes are lines x = a where the function approaches infinity or negative infinity as x approaches a. They occur where the denominator of a rational function is zero.
Tags
CCSS.HSF-IF.C.7D
3.
FLASHCARD QUESTION
Front
What are horizontal asymptotes?
Back
Horizontal asymptotes are lines y = b that the graph of a function approaches as x approaches infinity or negative infinity. They indicate the end behavior of the function.
Tags
CCSS.HSF-IF.C.7D
4.
FLASHCARD QUESTION
Front
How do you find vertical asymptotes of a rational function?
Back
To find vertical asymptotes, set the denominator of the rational function equal to zero and solve for x.
Tags
CCSS.HSF-IF.C.7D
5.
FLASHCARD QUESTION
Front
How do you find horizontal asymptotes of a rational function?
Back
To find horizontal asymptotes, compare the degrees of the numerator and denominator: If degree of P < degree of Q, y = 0; if degree of P = degree of Q, y = leading coefficient of P / leading coefficient of Q; if degree of P > degree of Q, no horizontal asymptote.
Tags
CCSS.HSF-IF.C.7D
6.
FLASHCARD QUESTION
Front
What is a hole in a graph of a rational function?
Back
A hole occurs in the graph of a rational function at a point where both the numerator and denominator are zero, indicating a removable discontinuity.
Tags
CCSS.HSF-IF.C.7D
7.
FLASHCARD QUESTION
Front
How do you simplify a rational function?
Back
To simplify a rational function, factor both the numerator and denominator and cancel out any common factors.
Tags
CCSS.HSA.APR.D.6
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