Rational Functions - Horizontal Asymptotes

What is the horizontal asymptote of the function given?

• y = 2
• x = 1
• x = 2
• y = -1

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What are the asymptotes?

• x = -3        y = 1  
• x = 3         y = 1
• x = -3        y = -1
• x = 3         y = -1

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

What are the asymptotes?

• x = 1

  x = 2

  y = 1

  y = 2

• x = 2

  x =-2

  y = 1

• x = 2

  y = -1

• x = 1

  y = 2

  y = -2

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the domain and range?

• D: x ≠ -3
  R: y≠ 1

• D: x ≠ 1
  R: y≠ -3

• D: x ≠ 3
  R: y≠ 1

• D: x ≠ -1
  R: y≠ 3

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

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

Tags

CCSS.HSA.APR.D.7

CCSS.HSF.IF.B.5

• x cannot equal to 2

• x cannot equal to 1/2

• x cannot equal to -2

• x cannot equal -4

Tags

CCSS.HSF.IF.B.5

Which is the graph of the rational equation:

• 
• 
• 
• 

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Which function matches this graph?

• $f\left(x\right)=\frac{1}{x-1}+2$

• $f\left(x\right)=\frac{1}{x+2}-1$

• $f\left(x\right)=\frac{1}{x+1}+2$

• $f\left(x\right)=\frac{1}{x-2}+1$

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The horizontal asymptote equals zero when:

• the degree of the numerator and denominator are equal

• the degree of the numerator is less than the degree of the denominator

• the degree of the numerator is greater than the degree of the denominator

• the numerator equals zero

What is the horizontal asymptote to this function?

• y=4
• y = 0

• unbounded

• y = -1/4

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.REI.D.10