Rational Functions

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•
Mathematics
•
10th - 11th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a rational function?
Back
A rational function is a function that can be expressed as the quotient of two polynomials, where the denominator is not zero.
2.
FLASHCARD QUESTION
Front
How do you find the y-intercept of a rational function?
Back
To find the y-intercept, set x = 0 in the function and solve for y.
3.
FLASHCARD QUESTION
Front
What does it mean if a rational function has an undefined y-intercept?
Back
An undefined y-intercept means that the function does not cross the y-axis, often due to a vertical asymptote.
4.
FLASHCARD QUESTION
Front
What is a horizontal asymptote?
Back
A horizontal asymptote is a horizontal line that the graph of a function approaches as x approaches positive or negative infinity.
5.
FLASHCARD QUESTION
Front
How do you determine the horizontal asymptote of a rational function?
Back
The horizontal asymptote can be determined by comparing the degrees of the numerator and denominator polynomials.
6.
FLASHCARD QUESTION
Front
What is a vertical asymptote?
Back
A vertical asymptote is a vertical line that the graph of a function approaches but never touches, typically where the function is undefined.
7.
FLASHCARD QUESTION
Front
How do you find the vertical asymptote of a rational function?
Back
To find the vertical asymptote, set the denominator equal to zero and solve for x.
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