Practice Test: Rational Functions

Which of the following rational functions have a horizontal asymptote?

• I only

• I and II only

• I and III only

• I, II, and III

• The graph of k has a vertical asymptote at x = -1 and a hole at x = 5.

• The graph of k has a vertical asymptote at x = 5 and a hole at x = -1.

• The graph of k has vertical asymptotes at x = -1 and x = 5.

• The graph of k has holes at x = -1 and x = 5.

The graph of the rational function h has a horizontal asymptote of y = 4. Which of the following could be an expression for h(x)?

• (A) −2

• (B) −1

• (C) −∞

• (D) ∞

On the interval (−∞, -2), the graph of f is

• decreasing at a decreasing rate.

• decreasing at an increasing rate.

• increasing at a decreasing rate.

• increasing at an increasing rate.

• x = -5 only

• x = -5 and x = -1 only

• x = -5 and x = 3 only

• x = -5, x = -1, and x = 3

The graph of the rational function h is shown above. Which of the following could be the expression for h?

• y = -5x - 9

• y = -5x + 9

• y = -5x + 3

• y = -5x - 3

The graph of the rational function f has a hole at x = -1 and a vertical asymptote at x = 1. Which of the following could be the expression for f?

• -18

• 18

• 9

• DNE