Rational Functions

• A

• B

• C

• D

• Discontinuities: 3, VA: x = 3, Holes: none, HA: y = 2, x-int: 4, D: All reals except 3, R: All reals except 2

• Discontinuities: 3, VA: x = 3, Holes: none, HA: y = -2, x-int: 4, D: All reals except 3, R: All reals except -2

• Discontinuities: 3, VA: x = -3, Holes: none, HA: y = -2, x-int: 4, D: All reals except -3, R: All reals except -2

• Discontinuities: 3, VA: x = -3, Holes: none, HA: y = 2, x-int: 4, D: All reals except -3, R: All reals except 2

• Discontinuities: -2, 3; VA: x = 3; Holes: x = -2,

  HA: y = 0; x - int: none, Range: All reals except -2, 3

• Discontinuities: 2, 3; VA: x = 3; Holes: x = 2,

  HA: y = 0; x - int: none, Range: All reals except 2, 3

• Discontinuities: -2, 3; VA: y = 3; Holes: y = -2,

  HA: x = 0; x - int: none, Range: All reals except -2, 3

• Discontinuities: -2, -3; VA: x = -3; Holes: x = -2,

  HA: y = 0; x - int: none, Range: All reals except -2, -3

• A

• B

• C

• D

• A

• B

• C

• D

• A

• B

• C

• D

• A

• B

• C

• D

State the equation of the rational function that this graph represents.

• y = -2x + 1 / x - 3

• y = 2x + 1 / x - 3

• y = -2x + 1 / x+ 3

• y = 2x + 1 / x + 3

• (-∞, -7] ∪ (2, ∞)

• (-∞, -7] ∪ (2, 7]

• (-∞, -7) ∪ (2, 7)

State the range of f(x) = 1 / 3x + 4.

• {y ∈ R | y > -4/3}

• {y ∈ R | y ≠ -4/3}

• {y ∈ R | y > 0}

• {y ∈ R | y ≠ 0}