Flashcard 2.5
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
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 positive or negative infinity.
Tags
CCSS.HSF-IF.C.7D
2.
FLASHCARD QUESTION
Front
What is a slant asymptote?
Back
A slant (or oblique) asymptote is a diagonal line that the graph of a function approaches as x approaches positive or negative infinity, occurring when the degree of the numerator is one more than the degree of the denominator.
Tags
CCSS.HSF-IF.C.7D
3.
FLASHCARD QUESTION
Front
How do you determine the horizontal asymptote of a rational function?
Back
To find the horizontal asymptote of a rational function, compare the degrees of the numerator and denominator. If the degree of the numerator is less, the asymptote is y=0. If they are equal, the asymptote is y=\frac{leading coefficient of numerator}{leading coefficient of denominator}.
Tags
CCSS.HSF-IF.C.7D
4.
FLASHCARD QUESTION
Front
What is a vertical asymptote?
Back
A vertical asymptote is a vertical line x=a where the function approaches infinity or negative infinity as x approaches a.
Tags
CCSS.HSF-IF.C.7D
5.
FLASHCARD QUESTION
Front
How do you find vertical asymptotes in a rational function?
Back
Vertical asymptotes occur at values of x that make the denominator zero, provided that these values do not also make the numerator zero.
Tags
CCSS.HSF-IF.C.7D
6.
FLASHCARD QUESTION
Front
What does it mean if a function has no vertical asymptotes?
Back
If a function has no vertical asymptotes, it means that the denominator does not have any real roots that would cause the function to be undefined.
Tags
CCSS.HSF-IF.C.7D
7.
FLASHCARD QUESTION
Front
What is the significance of the degree of a polynomial in determining asymptotes?
Back
The degree of a polynomial helps determine the behavior of the function at infinity and the presence of horizontal or slant asymptotes.
Tags
CCSS.HSF-IF.C.7D
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