Domain, Range, Zeros and Holes of a Rational Function

Which of the lines are vertical asymptotes of this rational function? SELECT ALL THAT APPLY.

Which equation represents the graph shown, which has a hole at (3, 2)?

• y = (x² – 4x + 3) / (x² – 5x + 6)

• y = (x² – 5x + 6) / (x² – 4x + 3)

• y = (x² – 3x + 2) / (x² – 5x + 6)

• y = (x² – 5x + 6) / (x² – 3x + 2)

• All Real #s;  x ≠ 1
• All Real #s;  y ≠ −1
• All Real #s;  y ≠ 1
• All Real #s;  x ≠ −1

Find the zeros (x-intercept(s)), if one exists.

• (1, 0)

• (-1, 0)

• (1, 0), (-1, 0)

• (0, 0), (1, 0)

What are the zeros (x-intercepts)?

• (2/3,0)

• (4,0), (-2,0)

• (-8,0), (1,0)

• (-4, 0), (2,0)

What is the x-value of the hole?

• x=2

• x=2 and x=3

• x=-3

• x=3

What are the coordinates of the hole, if one exists.

• (-1, -2)

• (-1, ½)

• (-1, -½)

• there isn't one

What is the domain and range?

What is the zeros (x-intercept)?

• (-5,0)

• (5,0)

• (-2,0)

• (1,0)

Select all the information that applies to the given rational function.

• V.A. at x = -3 and x = 1

• Hole at (1, -2)

• H.A. at y = 2

• x-intercepts at (3,0) and (1, 0)