Graphing Rationals Practice

Find the coordinates for the hole for

(x² - 5x + 6) / (x² - 4x + 3)

• (-1, 3/2)

• (3, 1/2)

• (-3, 5/4)

• (-2, 4/3)

Which of the following represents the graph below?

• 
• 
• 
• 

The horizontal asymptote is the ratio of the leading coefficients when...

• the horizontal asymptote always exists

• when the degree of the numerator is equal to the degree of the denominator

• when the degree of the numerator is smaller than the degree of the denominator

• when the degree of the numerator is bigger than the degree of the denominator

The horizontal asymptote is zero when...

• the horizontal asymptote always exists

• when the degree of the numerator is equal to the degree of the denominator

• when the degree of the numerator is smaller than the degree of the denominator

• when the degree of the numerator is bigger than the degree of the denominator

What is the range?

• (-∞, -2) u (-2, ∞)

• (-∞, 1/2) u (1/2, ∞)

• (-∞, 2/3) u (2/3, ∞)

• (-∞, -1/6) u (-1/6, ∞)

Find the y-int for (x² - 5x + 6) / (x² - 4x + 3)

• (2,0)

• (0,2)

• (0,3)

• (0,6)

What is the domain?

• (-∞, -2) u (-2, ∞)

• (-∞, 1/2) u (1/2, ∞)

• (-∞, 2/3) u (2/3, ∞)

• (-∞, -1/6) u (-1/6, ∞)

What is the Vertical asymptote of the graph?

• x=3

• y=-3

• x=-3

• x=1

What is the vertical asymptote? 

• x = 2

• y = 2

• x = 1

• y = 1

What is the horizontal asymptote of the graph?

• y=-1

• y=-3

• x=-3

• y=1