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

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

Which asymptote(s) are determined by looking at the denominator?

• vertical
• horizontal
• end behavior
• none

The y-intercepts of a rational function are:

• the value of f(0)
• the real zeros of the numerator
• always zero
• the real zeros of the denominatior

Name any holes of the function.

• x=0
• none
• x=3
• x=-3

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

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

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

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

What are the asymptotes?

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

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

Find the vertical asymptote(s).

• None
• x = 0
• x= 4
• x = -4, 4