vertical and horizontal asymptotes

Flashcard
•
Mathematics
•
10th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an asymptote?
Back
An asymptote is a line that a graph approaches but never touches or crosses. It can be vertical, horizontal, or oblique.
2.
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.
3.
FLASHCARD QUESTION
Front
What is a horizontal asymptote?
Back
A horizontal asymptote is a horizontal line y = b where the function approaches b as x approaches infinity or negative infinity.
4.
FLASHCARD QUESTION
Front
How do you find vertical asymptotes algebraically?
Back
Set the denominator of a rational function to zero and solve for x.
5.
FLASHCARD QUESTION
Front
How do you find horizontal asymptotes for rational functions?
Back
1. If the degree of the numerator is less than the degree of the denominator, y = 0. 2. If the degrees are equal, y = leading coefficient of numerator / leading coefficient of denominator.
6.
FLASHCARD QUESTION
Front
What is the significance of vertical asymptotes in a graph?
Back
Vertical asymptotes indicate values of x where the function is undefined and the graph will approach infinity.
7.
FLASHCARD QUESTION
Front
What is the significance of horizontal asymptotes in a graph?
Back
Horizontal asymptotes indicate the behavior of the function as x approaches infinity or negative infinity.
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