Attributes/Transformations Test

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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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 the input (x) approaches positive or negative infinity.
2.
FLASHCARD QUESTION
Front
How do you find the horizontal asymptote of a rational function?
Back
For a rational function, the horizontal asymptote can be found by comparing the degrees of the numerator and denominator. If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If they are equal, the asymptote is y = (leading coefficient of numerator)/(leading coefficient of denominator). If the degree of the numerator is greater, there is no horizontal asymptote.
3.
FLASHCARD QUESTION
Front
What is a vertical asymptote?
Back
A vertical asymptote is a vertical line that the graph of a function approaches as the input (x) approaches a certain value, typically where the function is undefined.
4.
FLASHCARD QUESTION
Front
How do you find the vertical asymptote of a rational function?
Back
To find the vertical asymptote of a rational function, set the denominator equal to zero and solve for x. The values of x that make the denominator zero are the vertical asymptotes.
5.
FLASHCARD QUESTION
Front
What does it mean if a function has a horizontal asymptote at y = -5?
Back
It means that as x approaches positive or negative infinity, the value of the function approaches -5.
6.
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 from the left or right, the value of the function approaches infinity or negative infinity.
7.
FLASHCARD QUESTION
Front
What is the significance of asymptotes in graphing functions?
Back
Asymptotes help to understand the behavior of a function at extreme values and where the function is undefined, guiding the overall shape of the graph.
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