Select each of the following true statements about $$f\left(x\right)\ =\ \frac{1}{\left(x+1\right)\left(x+3\right)}$$

As $$x\ \rightarrow\ \infty$$ , $$f\left(x\right)\ \rightarrow\ 0$$

As $$x\ \rightarrow\ -\infty$$ , $$f\left(x\right)\ \rightarrow\ \infty$$

As $$x\ \rightarrow\ -1$$ from the right, $$f\left(x\right)\ \rightarrow\ -\infty$$

As $$x\ \rightarrow\ -3$$ from the left, $$f\left(x\right)\ \rightarrow\ -\infty$$

The domain of f(x) is

(-∞,-3) U (-3,-1) U (-1,2) U (2,5) U (5,∞)

The domain of f(x) is

(-∞,-3) U (-3,-1) U (-1,2) U (2,5) U (5,∞)

How can you find the domain of a Rational Function?

By finding domain restriction: $$g\left(x\right)\ne0$$

By finding the range of the numerator

By factoring the numerator and denominator

By multiplying by the reciprocal of the denominator

The domain is always ALL REAL NUMBERS

All real numbers except 2 and -2

In finding the domain of the rational function $$r\left(x\right)=\frac{p\left(x\right)}{q\left(x\right)}$$ where p(x) and q(x) are polynomial functions, all real numbers are allowed for x except . . . (Check all that applies.)

The ones that would make the denominator zero. $$q\left(x\right)=0$$

The ones that would make the function undefined.

The ones that would make the numerator zero. $$p\left(x\right)=0$$

The ones that would make the function zero. $$r\left(x\right)=0$$

What is the domain and range of the parent rational function?

D: $$\left(-\infty,\infty\right),\ x\ne0$$ R: $$\left(-\infty,\infty\right),\ y\ne0$$

D: $$\left(-\infty,\infty\right)$$ R: $$\left(-\infty,\infty\right)$$

D: $$\left(-\infty,0\right)$$ R: $$\left(-\infty,0\right)$$

What is the domain and range of this rational function?

D: $$\left(-\infty,\infty\right),\ x\ne4$$ R: $$\left(-\infty,\infty\right),\ y\ne0$$

D: $$\left(-\infty,\infty\right)$$ R: $$\left(-\infty,\infty\right)$$

D: $$\left(-\infty,4\right)$$ R: $$\left(-\infty,\infty\right)$$

D: $$\left(-\infty,\infty\right)$$ R: $$\left(-\infty,0\right)$$

What is the domain and range?

D : All real number x ≠ -3 R: All real number y≠ 1

D : All real number x ≠ 1 R: All real number y≠ -3

D : All real number x ≠ 3 R: All real number y≠ 1

D : All real number x ≠ -1 R: All real number y≠ 3

Domain Rational Functions

Authored by Anthony Clark

Mathematics

11th Grade

CCSS covered

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

Content View

Student View

20 questions

Show all answers

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The domain of a rational function is...

FILL IN THE BLANK QUESTION

1 min • 1 pt

At the x-values that are NOT in the domain of a rational function, we usually see the function going up to infinity or down to negative infinity. What is the name of these "walls" of the graph, which the function cannot pass?

Tags

CCSS.HSF-IF.C.7D

MULTIPLE SELECT QUESTION

1 min • 1 pt

MULTIPLE SELECT QUESTION

1 min • 1 pt

Tags

CCSS.HSF-IF.C.7D

DRAG AND DROP QUESTION

1 min • 1 pt

What is the domain of the rational function?

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the domain?

All real numbers except 1/2

All real numbers

All real numbers except -4

All real numbers except 4

DRAG AND DROP QUESTION

1 min • 1 pt

What is the domain of the rational function?

Tags

CCSS.HSF-IF.C.7D

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

20 questions

Kuis 1 (Matriks)

Quiz

•

11th Grade

22 questions

Przekształcanie wykresów funkcji. Funkcja liniowa

Quiz

•

9th - 11th Grade

15 questions

Educazione Civica: Produzione e consumo di energia

Quiz

•

8th - 12th Grade

20 questions

Kiểm tra 15 phút TH 11 Lần 1

Quiz

•

11th Grade

15 questions

StatProb Lesson 4 Quiz Reviewer (SY 23 - 24)

Quiz

•

11th Grade

20 questions

SUMATIF 1

Quiz

•

11th Grade

15 questions

CAL_INT_2025A_C1

Quiz

•

11th Grade

15 questions

Lugares geométricos

Quiz

•

11th Grade

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

15 questions

Equivalent Fractions

Quiz

•

4th Grade

20 questions

Figurative Language Review

Quiz

•

6th Grade

Discover more resources for Mathematics

12 questions

Add and Subtract Polynomials

Quiz

•

9th - 12th Grade

13 questions

Model Exponential Growth and Decay Scenarios

Quiz

•

9th - 12th Grade

27 questions

7.2.3 Quadrilateral Properties

Quiz

•

9th - 12th Grade

10 questions

Key Features of Quadratic Functions

Interactive video

•

8th - 12th Grade

11 questions

Exponent Quotient Rules A1 U7

Quiz

•

9th - 12th Grade

18 questions

Integer Operations

Quiz

•

5th - 12th Grade

15 questions

Exponential Growth and Decay Word Problems

Quiz

•

9th - 12th Grade

10 questions

complementary and Supplementary angles

Quiz

•

9th - 12th Grade

Domain Rational Functions

The domain of a rational function is...

At the x-values that are NOT in the domain of a rational function, we usually see the function going up to infinity or down to negative infinity. What is the name of these "walls" of the graph, which the function cannot pass?

What is the domain of the rational function?

What is the domain?

What is the domain of the rational function?

The domain of f(x) is ​ ​ ​ ​ (a)

What is the domain?

What is the domain?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

The domain of f(x) is (a)