Characteristics of Rational and Logarithmic Functions

State the vertical asymptote:  f(x)=(x-2)/(x+5).

• x = -2/5
• x = -5/2
• x = -5
• x = 2

Tags

CCSS.HSF-IF.C.7D

State the horizontal asymptote:  (2x²-5x +1)/(x²-x)

• y = 2
• y = 1
• y = 0
• There is no HA

Tags

CCSS.HSF-IF.C.7D

State the vertical asymptotes:  f(x) = 2 / (2x²+3x - 5)

• x = 1 , x = -5
• x = 1, x = -5/2
• x = -1/2, x = 5
• x = 0 , x = -5/2

Tags

CCSS.HSF-IF.C.7D

Find the domain of the rational function f(x) = x / (x²-25)

• (- infinity, -5) , (5, infinity)
• (-infinity, -5), (-5, 5) , (5, infinity)
• (- infinity, 5) , (5, infinity)
• (- infinity, 25) , (25, infinity)

Find the excluded value(s).

• 3
• -3
• 0
• -1

If you factor 6x²+7x - 3 , one of the factors is

• (2x - 7)
• (2x + 3)
• (2x - 1)
• (2x + 1)

Find the vertical asymptote(s).

• None
• x = 0
• x= 4
• x = -4, 4

Tags

CCSS.HSF-IF.C.7D

Find the horizontal asymptote.

• None
• y = 0
• y = -1/3
• y = -3

Tags

CCSS.HSF-IF.C.7D

Find the hole(s).

• None
• x = -4
• x = 4
• x = 1/2

Tags

CCSS.HSF-IF.C.7D

Find the vertical asymptote(s), hole(s) and horizontal asymptote.

• V.A.: x = -1
  Holes: x = 2
  H.A.: None
• V.A.: x = 2
  Holes: x = 1
  H.A.: None
• V.A.: x = -1
  Holes: x = 2
  H.A.: y = 1/4
• V.A.: x = 2, -1
  Holes: x = None
  H.A.: None

Tags

CCSS.HSF-IF.C.7D