rational functions graphs
Flashcard
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Mathematics
•
10th - 12th Grade
•
Hard
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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 is a hole in a rational function graph?
Back
A hole in a rational function graph occurs at a value of x where both the numerator and denominator of the function equal zero, indicating that the function is undefined at that point.
Tags
CCSS.HSF-IF.C.7D
3.
FLASHCARD QUESTION
Front
How do you find the vertical asymptote of a rational function?
Back
The vertical asymptote of a rational function occurs at the values of x that make the denominator equal to zero, provided that these values do not also make the numerator zero.
Tags
CCSS.HSF-IF.C.7D
4.
FLASHCARD QUESTION
Front
What is a horizontal asymptote?
Back
A horizontal asymptote is a horizontal line that the graph of a function approaches as x approaches infinity or negative infinity. It indicates the behavior of the function at extreme values.
Tags
CCSS.HSF-IF.C.7D
5.
FLASHCARD QUESTION
Front
How do you determine the horizontal asymptote of a rational function?
Back
Tags
CCSS.HSF-IF.C.7D
6.
FLASHCARD QUESTION
Front
What is the significance of the leading coefficient in a rational function?
Back
The leading coefficient of the polynomial in the numerator or denominator affects the end behavior of the rational function, particularly in determining the horizontal asymptote.
Tags
CCSS.HSF-IF.C.7D
7.
FLASHCARD QUESTION
Front
What does it mean if a rational function has a hole at x = -3?
Back
If a rational function has a hole at x = -3, it means that the function is undefined at this point, and the graph will not include the point ( -3, f(-3) ).
Tags
CCSS.HSF-IF.C.7D
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