Rational Transformations Holes Asymptotes Domain Range

Rational Transformations Holes Asymptotes Domain Range

9th - 12th Grade

30 Qs

quiz-placeholder

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Rational Transformations Holes Asymptotes Domain Range

Rational Transformations Holes Asymptotes Domain Range

Assessment

Quiz

Mathematics

9th - 12th Grade

Hard

CCSS
HSF-IF.C.7D

Standards-aligned

Created by

Barbara White

FREE Resource

30 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is a rational function?

A function that is a fraction of polynomials p(x) and q(x)

A function that is a product of polynomials p(x) and q(x)

A function that is a sum of polynomials p(x) and q(x)

A function that is a difference of polynomials p(x) and q(x)

Tags

CCSS.HSF-IF.C.7D

2.

DROPDOWN QUESTION

1 min • 1 pt

The domain of a rational function is the set of all real numbers except the roots of the ​ (a)   polynomial.

denominator
numerator

3.

DROPDOWN QUESTION

1 min • 1 pt

x-intercepts, also known as roots, are the points where the graph of a rational function meets the x-axis and are the roots of the ​ ​ (a)   polynomial

numerator
denominator

Tags

CCSS.HSF-IF.C.7D

4.

DROPDOWN QUESTION

1 min • 1 pt

​ (a)   asymptotes may occur at the real zeros of the denominator

Vertical
Horizontal
Slant

Tags

CCSS.HSF-IF.C.7D

5.

MATCH QUESTION

1 min • 1 pt

Media Image

To determine if a graph has a horizontal asymptote, you compare the degree n of the numerator to the degree m of the denominator.

n = m

y = 0

n > m

No horizontal asymptote

n < m

Tags

CCSS.HSF-IF.C.7D

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Graphs can sometimes cross a horizontal asymptote.

True

False

Answer explanation

This is true.

Asymptotes apply to end behavior, therefore the graph may cross the horizontal asymptote when it is closer to zero.

Tags

CCSS.HSF-IF.C.7D

7.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Media Image

From the graph, we can see that the function has vertical asymptotes at

CHOOSE ALL THAT APPLY

x = -3

x = 1

x = -1

x = -2

x = -4

Tags

CCSS.HSF-IF.C.7D

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