Attributes/Transformations Test
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a vertical asymptote?
Back
A vertical asymptote is a line x = a where the function approaches infinity or negative infinity as the input approaches a. It indicates where the function is undefined.
Tags
CCSS.HSF-IF.C.7D
2.
FLASHCARD QUESTION
Front
How do you find vertical asymptotes in 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
3.
FLASHCARD QUESTION
Front
What is a horizontal asymptote?
Back
A horizontal asymptote is a line y = b that the graph of a function approaches as x approaches infinity or negative infinity.
Tags
CCSS.HSF-IF.C.7D
4.
FLASHCARD QUESTION
Front
How do you determine horizontal asymptotes for rational functions?
Back
For rational functions, compare the degrees of the numerator and denominator: If the degree of the numerator is less, y = 0; if equal, y = leading coefficient of numerator/leading coefficient of denominator; if greater, no horizontal asymptote.
Tags
CCSS.HSF-IF.C.7D
5.
FLASHCARD QUESTION
Front
What does it mean if a function has a vertical asymptote at x = 3?
Back
It means that as x approaches 3, the function's value increases or decreases without bound, indicating a point of discontinuity.
Tags
CCSS.HSF-IF.C.7D
6.
FLASHCARD QUESTION
Front
What does it mean if a function has a horizontal asymptote at y = -5?
Back
It means that as x approaches infinity or negative infinity, the function's value approaches -5, indicating the function levels off.
Tags
CCSS.HSF-IF.C.7D
7.
FLASHCARD QUESTION
Front
Can a function have both vertical and horizontal asymptotes?
Back
Yes, a function can have both vertical and horizontal asymptotes, indicating different behaviors as x approaches certain values and as x goes to infinity.
Tags
CCSS.HSF-IF.C.7D
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