Vertical asymptotes
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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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 a function approaches infinity or negative infinity as the input approaches a. It indicates values that make the function undefined.
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.
3.
FLASHCARD QUESTION
Front
Back
The vertical asymptote is x = 3.
4.
FLASHCARD QUESTION
Front
What happens to the graph of a function as it approaches a vertical asymptote?
Back
As the graph approaches a vertical asymptote, it tends to rise or fall without bound, moving towards positive or negative infinity.
5.
FLASHCARD QUESTION
Front
If a function has a vertical asymptote at x = -2, what does this imply about the function?
Back
It implies that the function is undefined at x = -2 and the values of the function will approach infinity or negative infinity as x approaches -2.
6.
FLASHCARD QUESTION
Front
Back
The vertical asymptotes are x = -2 and x = 4.
7.
FLASHCARD QUESTION
Front
Can a function have more than one vertical asymptote?
Back
Yes, a function can have multiple vertical asymptotes depending on the number of values that make the denominator zero.
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