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Rational Functions Asymptotes

Authored by Charmaine Riley

Mathematics

11th Grade

CCSS covered

Used 3+ times

Rational Functions Asymptotes
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the definition of a rational function?

A rational function is a function that can be written as the sum of two polynomial functions.

A rational function is a function that can be written as the product of two polynomial functions.

A rational function is a function that can be written as the difference of two polynomial functions.

A rational function is a function that can be written as the quotient of two polynomial functions, where the denominator is not equal to zero.

Tags

CCSS.HSF-IF.C.7D

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is an asymptote in the context of rational functions?

A line that a graph approaches but never touches or crosses.

A line that a graph crosses at one point.

A line that a graph touches at one point.

A line that a graph intersects at multiple points.

Tags

CCSS.HSF-IF.C.7D

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the two types of asymptotes that a rational function can have?

vertical and horizontal

positive and negative

curved and straight

oblique and diagonal

Tags

CCSS.HSF-IF.C.7D

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you determine the vertical asymptotes of a rational function?

Find the values of x that make the denominator of the function equal to zero.

Identify the values of x that make the function equal to zero.

Determine the values of x that make the function undefined.

Find the values of x that make the numerator of the function equal to zero.

Tags

CCSS.HSF-IF.C.7D

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you determine the horizontal asymptotes of a rational function?

Compare the degrees of the numerator and denominator

Evaluate the function at x = 0

Find the x-intercepts of the function

Take the derivative of the function

Tags

CCSS.HSF-IF.C.7D

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equation of a vertical asymptote for a rational function?

x = -a

x = 0

x = a

x = 1/a

Tags

CCSS.HSF-IF.C.7D

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equation of a horizontal asymptote for a rational function?

y = x

y = 0

y = 1

y = c

Tags

CCSS.HSF-IF.C.7D

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