Unit 5 Review
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
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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 x approaches a. It occurs when the denominator of a rational function equals zero.
2.
FLASHCARD QUESTION
Front
What is a horizontal asymptote?
Back
A horizontal asymptote is a line y = b that a function approaches as x approaches infinity or negative infinity. It indicates the end behavior of the function.
3.
FLASHCARD QUESTION
Front
What is a zero of a function?
Back
A zero of a function is a value of x for which the function f(x) = 0. It represents the x-intercepts of the graph.
4.
FLASHCARD QUESTION
Front
How do you find vertical asymptotes in rational functions?
Back
Vertical asymptotes are found by setting the denominator of a rational function equal to zero and solving for x.
5.
FLASHCARD QUESTION
Front
How do you determine horizontal asymptotes for rational functions?
Back
Horizontal asymptotes can be determined by comparing the degrees of the numerator and denominator. If the degree of the numerator is less than the denominator, y = 0; if they are equal, y = the ratio of leading coefficients; if the numerator's degree is greater, there is no horizontal asymptote.
6.
FLASHCARD QUESTION
Front
What is a slant (oblique) asymptote?
Back
A slant asymptote occurs when the degree of the numerator is exactly one more than the degree of the denominator. It can be found using polynomial long division.
7.
FLASHCARD QUESTION
Front
What does it mean if a function has no horizontal asymptote?
Back
If a function has no horizontal asymptote, it means that as x approaches infinity or negative infinity, the function does not approach a constant value.
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