Graphing Rational Functions
Flashcard
•
Mathematics
•
7th Grade
•
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 rational function approaches infinity or negative infinity as the input approaches a. It indicates values that the function cannot take.
2.
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. It indicates the behavior of the function at extreme values.
3.
FLASHCARD QUESTION
Front
How do you find the Vertical Asymptote of a rational function?
Back
To find the vertical asymptote, set the denominator of the rational function equal to zero and solve for x.
4.
FLASHCARD QUESTION
Front
How do you find the Horizontal Asymptote of a rational function?
Back
To find the horizontal asymptote, 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, there is no horizontal asymptote.
5.
FLASHCARD QUESTION
Front
What is the domain of a rational function?
Back
The domain of a rational function is all real numbers except where the denominator equals zero.
6.
FLASHCARD QUESTION
Front
What are x-intercepts of a function?
Back
X-intercepts are points where the graph of the function crosses the x-axis, found by setting the numerator of the rational function equal to zero.
7.
FLASHCARD QUESTION
Front
What is the significance of the x-intercepts?
Back
X-intercepts indicate the values of x for which the function outputs zero, showing where the graph intersects the x-axis.
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