What is a rational function?
Rational Function Graphs

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Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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
What is an asymptote?
Back
An asymptote is a line that a graph approaches but never touches or crosses.
3.
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 values (x) approach positive or negative infinity.
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 polynomials. If the degree of the numerator is less than the degree of the denominator, the asymptote is y=0. If they are equal, divide the leading coefficients.
5.
FLASHCARD QUESTION
Front
What are x-intercepts?
Back
X-intercepts are points where the graph of a function crosses the x-axis, meaning the output value (y) is zero.
6.
FLASHCARD QUESTION
Front
How do you find the x-intercepts of a rational function?
Back
To find the x-intercepts, set the numerator of the rational function equal to zero and solve for x.
7.
FLASHCARD QUESTION
Front
What is a hole in a graph?
Back
A hole in a graph occurs at a point where a factor in the numerator and denominator cancels out, indicating that the function is not defined at that point.
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