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

The domain of a rational function is...

the range of acceptable $$x-$$ values that may be plugged into the function

the $$x-$$ values that make the denominator equal 0

the range of possible $$y-$$ values the function reaches

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

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. $$r\left(x\right)=0$$

Rational Functions Domain

Authored by Anthony Clark

Mathematics

11th Grade

CCSS covered

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MULTIPLE CHOICE QUESTION

1 min • 5 pts

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

MULTIPLE CHOICE QUESTION

1 min • 5 pts

What is the domain and range of this rational function?

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Find the domain for the function. f(x)= 2x -1 / 3x + 6

x cannot equal to 2

x cannot equal to -2

x cannot equal to 3

All real numbers

MULTIPLE CHOICE QUESTION

1 min • 5 pts

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the domain of the function. f(x)=\frac{x^3}{x+8}

x cannot equal to 8

x cannot equal to 0

x cannot equal to -8

All real numbers

MULTIPLE CHOICE QUESTION

1 min • 5 pts

What is the domain and range?

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Identify the domain and range of the function:

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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Rational Functions Domain

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

What is the domain and range of this rational function?

Find the domain for the function. f(x)= 2x -1 / 3x + 6

What is the domain and range?

Find the domain of the function. f(x)=\frac{x^3}{x+8}

What is the domain and range?

Identify the domain and range of the function:

Identify the domain and range of the function:

How can you find the domain of a Rational Function?

What is the domain of the rational function?

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