7.8 A2 Test Unit 6 Graphing Rationals

Where are the hole(s) in this function?

 $y=\frac{x^3-4x}{x^3-x^2-2x}$  

• 0,2

• 0,1,2

• -2,0,2

• -2,0,1,2

 $y=\frac{3x^3+2}{x+1}$ 
Where is the horizontal asymptote of the function?

• none

• y=0

• y=-1

• y=3

Where is the horizontal asymptote in the function?

 $y=\frac{3}{x^2+2x-8}$  

• y=0

• none

• y=4, y=-2

• y=3

Where is the horizontal asymptote in the function?

 $y=\frac{3x-1}{4x+3}$  

• y= 3/4

• y=0

• none

• y=-3/4

Where is the vertical asymptote(s) in the function?

 $y=\frac{3}{x^2+2x-8}$  

• x=3

• x=-4, x=2

• x=0

• none

Where are the vertical asymptote(s) in the function?

 $y=\frac{6}{x^2-4}$  

• x=2, x=-2

• x=6

• x=0

• x=4, x=-4

Where is the x intercept(s) of the function?

 $y=\frac{6}{x^2-4}$  

• none

• (6,0)

• (2,0), (-2,0)

• (0,0)

What are the x-intercept(s) of the function?

 $y=\frac{2x^2-x-3}{x-4}$  

•  $\left(\frac{3}{2},0\right),\ \left(-1,0\right)$  

• (4,0)

• (2,0), (-1,0), (-3,0)

• none

What are the transformations of this functions compared to the parent function?

• Shifted down 2
• Shifted up 2
• Shifted left 2
• Shifted right 2

What are the transformations for the graph of
the parent function f(x) = √x  to the function above 

• Vertical Stretch by a factor of 2; translated down 5 units 
• Shifted right 2 units and down 5 units 
• Vertical stretch by a factor of 2; translated left 5 units
• Vertical stretch by a factor of 2; translated right one unit