Rational Function Review

What is the equation of the vertical asymptote?

• x = 3

• y = 3

• x = -3

• y = -3

What is the equation of the vertical and horizontal asymptotes?

• x = -4 and y = 2

• x = 2 and y = -4

• x = -2 and y = -4

• x = 4 and y = 2

What are the asymptotes of the function?

• Vertical: x = 1, Hole: x = -5, Horizontal: y = 0

• Vertical: x = 1, Hole: x = -5, Horizontal: y = 1

• Vertical: y = 1, Hole: x = -5, Horizontal: x = 0

• Vertical: y = 1, Hole: x = 5, Horizontal: x = 0

Which of the following best describes the domain of the function?

• (-∞, -4) U (-4, 7) U (7, ∞)

• (-∞, -4] U [-4, 7] U [7, ∞)

• (-∞, -7) U (-7, 4) U (4, ∞)

• (-∞, -7] U [-7, 4] U [4, ∞)

Which statement about the graph of the function is true?

• The graph of f(x) has a vertical asymptote at

  x = -1

• The graph of f(x) has a vertical asymptote and

  x = 1 and a hole at x = -2

• The graph of f(x) has a vertical asymptote at

  x = 1 and at x = -2

• The graph of f(x) has a vertical asymptote at

  x = -1 and at x = 2

What is the domain of the function?

• {x| x ∈ ℝ, x ≠ -8}

• {x| x ∈ ℝ, x ≠ 2}

• {x| x ∈ ℝ}

• {x| x ∈ ℝ, x ≠ 2, -8}

Which of the following best describes the transformation from the parent function 1/x?

• Vertical compression by 2, shift left 3 and up 5

• Vertical compression by 2, shift right 3 and up 5

• Vertical stretch by 2, shift left 3 and up 5

• Vertical stretch by 2, shift right 3 and up 5

Which statement about the graph of the function is NOT true?

• Horizontal asymptote at y = 4

• Vertical asymptote at x = 3

• Hole at x = -3

• Range: (-∞, 0) U (0, ∞)

Which of the following statements about the graph of the function is NOT true?

• The graph of f(x) has a hole at x = -2

• The graph of f(x) has a slant asymptote

• The graph of f(x) has a domain of all real numbers except x = -2

• The graph of f(x) has a two asymptotes

What is the equation of the horizontal asymptote?

• y = 0

• y = 1/3

• y = 3

• y = -1/3