Rational Function Graphs Review

Rational Function Graphs Review

Assessment

Flashcard

Mathematics

10th Grade

Hard

CCSS
HSF-IF.C.7D, HSF-IF.C.7C

Standards-aligned

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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.

Tags

CCSS.HSF-IF.C.7D

2.

FLASHCARD QUESTION

Front

Define x-intercept (zero) of a function.

Back

The x-intercept (or zero) of a function is the point where the graph of the function crosses the x-axis, meaning the output (y-value) is zero.

Tags

CCSS.HSF-IF.C.7D

3.

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.

Tags

CCSS.HSF-IF.C.7D

4.

FLASHCARD QUESTION

Front

What is a vertical asymptote?

Back

A vertical asymptote is a vertical line x = a where the function approaches infinity or negative infinity as x approaches a.

Tags

CCSS.HSF-IF.C.7D

5.

FLASHCARD QUESTION

Front

How do you determine vertical asymptotes in a rational function?

Back

Vertical asymptotes occur at values of x that make the denominator zero, provided the numerator is not also zero at those points.

Tags

CCSS.HSF-IF.C.7D

6.

FLASHCARD QUESTION

Front

What is a horizontal asymptote?

Back

A horizontal asymptote is a horizontal line y = b that the graph of a function approaches as x approaches infinity or negative infinity.

Tags

CCSS.HSF-IF.C.7D

7.

FLASHCARD QUESTION

Front

How do you find horizontal asymptotes in rational functions?

Back

To find horizontal asymptotes, compare the degrees of the numerator and denominator polynomials.

Tags

CCSS.HSF-IF.C.7D

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