AP PreCalculus Unit 1B MCQ Review AP Style

• As the input values of r increase without bound, the output values of r decrease without bound.

• As the input values of r increase without bound, the output values of r increase without bound.

• As the input values of r increase without bound, the output values of r get arbitrarily close to 0.

• As the input values of r increase without bound, the output values of r get arbitrarily close to 2.

The rational function r is given by r(x) = (x + 2)/(x - 3). What are all intervals on which r(x) > 0?

• (-2, 3) only

• (-2, ∞)

• (-∞, -3) ∪ (2, ∞)

• (-∞, -2) ∪ (3, ∞)

• x = 2 only

• x = 0 and x = 2 only

• x = 0 and x = 3 only

• x = 0, x = 2, and x = 3

In the xy-plane, the graph of a rational function g has a vertical asymptote at x = 3. Which of the following could be an expression for g(x)?

The rational function k is given by k(x) = (x - 2)/(x + 3). Which of the following limit statements about k is correct?

• A

• B

• C

• D

The rational function r is given by r(x) = (x + 1)/(x - 4). Which of the following limit statements about r is correct?

• A

• B

• C

• D

The rational function r is given by r(x) = (x-2)(x+4)/(x+2)(x+4). Which of the following statements about r is true?

• Input values of r sufficiently close to -4 correspond to output values arbitrarily close to 0.

• Input values of r sufficiently close to -4 correspond to output values arbitrarily close to -3.

• Input values of r sufficiently close to -4 correspond to output values arbitrarily close to 3.

• Input values of r sufficiently close to -4 correspond to output values that decrease without bound.

In the xy-plane, the graph of a rational function m has a hole at x = 1. Which of the following could define m(x)?

The rational function r is given by r(x) = ((x-1)(x+2))/((x-1)(x+3)). What is the domain of r?

• all real number x where x ≠ -2

• all real number x where x ≠ -2, x ≠ 1