Graph Rational Functions

What is the parent function of a rational function?

• Y=X²
• Y=X
• 1 / X
• Y=X / 1

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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

• x = -2/5

• x = -5/2

• x = -5

• x = 2

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

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

Tags

CCSS.HSA.APR.D.6

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.HSA.APR.B.3

CCSS.HSA.APR.D.7

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)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.D.7

Find the x-intercept (zero) of the function f(x) = (x - 7) / x

• (0, 0)
• (0, -7)
• (7, 0)
• there is no x- intercept

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

• All Reals Except 0
• All Reals
• All Reals Except -3
• All Reals Except 0 and -3

Tags

CCSS.HSA.APR.D.7

• -1
• 0
• 4
• None

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.D.10

• None
• x = -4
• x = 3
• x = 4

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

What are the asymptotes of the following function:
y = x / (2x - 6)

• y = 1/2, x = 3
• y = 2, x = 6
• y = 1/2, x = 6
• y = 2, x = 3

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7