Unit 6 Rational Functions Key Features

Unit 6 Rational Functions Key Features

Assessment

Flashcard

Mathematics

9th - 12th Grade

Practice Problem

Hard

Created by

Wayground Content

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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

What are vertical asymptotes?

Back

Vertical asymptotes are lines that a graph approaches but never touches or crosses, occurring where the denominator of a rational function is zero.

3.

FLASHCARD QUESTION

Front

How do you find vertical asymptotes of a rational function?

Back

To find vertical asymptotes, set the denominator of the rational function equal to zero and solve for x.

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 horizontal asymptotes for rational functions?

Back

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, no horizontal asymptote.

6.

FLASHCARD QUESTION

Front

What is the significance of holes in a rational function?

Back

Holes occur in a rational function when a factor cancels out from both the numerator and denominator, indicating a point where the function is undefined.

7.

FLASHCARD QUESTION

Front

What is the domain of a rational function?

Back

The domain of a rational function includes all real numbers except where the denominator is zero.

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