Rational Functions

Write the following function in factored form.

• y = [(3x + 4)(x – 2)] / [x(x – 2)]

• y = [(3x + 8)(x – 1)] / [x(x – 2)]

• y = [(3x + 2)(x – 4)] / [x(x – 2)]

• y = [(3x – 28(x + 1)] / [x(x – 2)] y = [(3x – 28(x + 1)] / [x(x – 2)]

Tags

CCSS.HSA.APR.D.6

Which of the following functions will have an oblique asymptote?

• f(x) = 2x²/ (x³ + 3)

• f(x) = x²/ (x² + 3)

• f(x) = x²/ (x + 3)

• f(x) = x/ (x² + 3)

Tags

CCSS.HSF-IF.C.7D

What are the asymptotes?

• x = -3        y = 1  

• x = 3         y = 1

• x = -3        y = -1

• x = 3         y = -1

Tags

CCSS.HSF-IF.C.7D

What is/are the vertical asymptote(s)?

• There are no vertical asymptotes

• x=5

• x=-5

• x=-1/2

Tags

CCSS.HSF-IF.C.7D

What is the Vertical Asymptotes? 

• x= -5

• x= 5

• x= 6

• x= -6

Tags

CCSS.HSF-IF.C.7D

Find the horizontal asymptote.

• None

• y = 0

• y = -1/3

• y = -3

Tags

CCSS.HSF-IF.C.7D

State the Domain and Range.

• D: All real numbers x ≠ -5

  R: All real numbers y ≠ -7

• D: All real numbers x ≠ -5

  R: All real numbers y ≠ 7

• D: All real numbers x ≠ 5

  R: All real numbers y ≠ -7

• D: All real numbers x ≠ 5

  R: All real numbers y ≠ 7

What is the Horizontal Asymptote?

• None

• y= 0

• y= 1

• y= 5/4

Tags

CCSS.HSF-IF.C.7D

What is the domain and range?

• D: All real numbers x ≠ -3

  R: All real numbers y≠ 1

• D: All real numbers x ≠ 1

  R: All real numbers y≠ -3

• D: All real numbers x ≠ 3

  R: All real numbers y≠ 1

• D: All real numbers x ≠ -1

  R: All real numbers y≠ 3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the End behavior on the left side

• x →-∞, y→∞

• x →∞, y→-∞

• x →-∞, y→-∞

• x →∞, y→∞