Rational Functions

What are the asymptotes?

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

Tags

CCSS.HSF-IF.C.7D

Find the hole of the function.
3x²+ 21x
_________
x²+5x-14

• x =2,-7
• x=7
• x=-7
• x=-4,3

Tags

CCSS.HSF-IF.C.7D

Find the vertical asymptote.
3x²+ 21x
_________
x²+5x-14

• y=2
• x=3/2
• x= 2
• x=7

Tags

CCSS.HSF-IF.C.7D

Find the horizontal asymptote.

• None
• y = 0
• y = -1/3
• y = -3

Tags

CCSS.HSF-IF.C.7D

Describe all transformations from the parent function g(x)=1/x to f(x).

• Shift right 5 and shift up 7
• Shift left 7 and shift up 5
• Reflect over the x-axis, shift up 7
• Shift left 5 and shift up 7

Tags

CCSS.HSF.BF.B.3

State the Domain and Range.

• {x e R | x does not equal 5} and {y e R | y does not equal 7}
• {x e R | x does not equal -5} and {y e R | y does not equal 7}
• {x e R | x does not equal 5} and {y e R | y does not equal -7}
• {y e R | y does not equal 5} and {y e R | y does not equal 7}

Tags

CCSS.HSF.IF.B.5

CCSS.HSF.IF.A.1

What is the domain? 

• x≠ -5,5
• x≠ -5,4
• x≠ -4,5
• x≠ -4,-5

Tags

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.HSF-IF.C.7D

• Range = all real #s
• Range = all real #s except 2
• Range = all real #s except -2
• Range = none

Tags

CCSS.HSF.IF.B.5

CCSS.8.F.A.1

Find the horizontal asymptote.
4x-16
_________
x²-16

• y=2
• y=1
• y=0
• none

Tags

CCSS.HSF-IF.C.7D