7.7 Unit 7 Rev Graphing Rationals

What is the x asymptote of the graph?

• x=3
• y=-3
• x=-3
• x=1

What is the y asymptote of the graph?

• y=-1
• y=-3
• x=-3
• y=1

What is/are the vertical asymptote(s)?

• x=-2
• x=2 and x=3
• x=-3
• x=3

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

• y=2
• y=1
• y=0
• none

What is the Y-Intercept? 

• (0, 5)
• (0, -6)
• (0, 1)
• (0, -5/6)

Describe the transformations of the function.

• Shift up by 2 units

  Reflected over the x-axis

• Shift down by 2 units

  Reflected over the y-axis

• Shift up by 2 units

  Reflected over the y-axis

• Shift left by 2 units

  Reflected over the x-axis

What is the domain and range?

• Domain: A.R.N. except x= -3

  Range: A.R.N. except y= 1

• Domain: A.R.N. except x= 3

  Range: A.R.N. except y= -1

• Domain: A.R.N. except x= 1

  Range: A.R.N. except y= -3

• Domain: A.R.N. except x= -3

  Range: A.R.N. except y= -1

• Domain: A.R.N. except x= -1

  Range: A.R.N. except y= 3

What is/are the x-intercepts of this graph?

• (-2,0) and (2,0)
• (-2,0)
• (3,0)
• (2,0) and (3,0

Select ALL the information that applies to the given rational function.
 $f\left(x\right)=\frac{x-3}{-2x^2+8x-6}$  

• Vertical Asymptote. at x = 1

• No Holes

• Horizontal Asymptote. at y = 0

• y-intercept at (0, 1/2)

Select ALL the information that applies to the given rational function. $f\left(x\right)=\frac{2x^2-2}{x^2-4x+3}$  

• Vertical Asymptote. at x = -3 and x = 1

• Hole at (1, 0)

• Horizontal Asymptote at y = 2

• x-intercepts at (3,0) and (1, 0)