graphing rational equations

Determine the x-coordinate of the hole on the graph of 
f(x)= (x²-2x + 1)/(x²+2x - 3)

• -1
• 3
• 1
• -3

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

Name any holes of the function.

• x=0
• none
• x=3
• x=-3

Tags

CCSS.HSF-IF.C.7D

Solve and check for extraneous solutions.

• x=-1, x=-3 extraneous
• x=-1 extraneous, x=-2
• x=-1, x=-2 extraneous
• x=-1, x=2 extraneous

Tags

CCSS.HSA.REI.A.2

Match the graph to the correct rational equation below.

• f(x)=-8/(x+2)  +  2
• f(x)=8/(x-2)  +  2
• f(x)=1/(x+2)  +  2
• f(x)=-1/(x+2)  -  2

Tags

CCSS.HSF-IF.C.7D

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 vertical asymptote(s).

• None
• x = 0
• x= 4
• x = -4, 4

Tags

CCSS.HSF-IF.C.7D

What is the horizontal asymptote? 

• x = 2
• y = 2
• x = 1
• y = 1

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

Simplify the expression

• 6x / 20xy

• 3 / 10y

• (6x+1) / (20xy)

• 3 / 20xy

Tags

CCSS.HSA.APR.D.7