Sketch the asymptotes and the graph of the function. Identify the domain and range. yequalsStartFraction 1 Over x minus 4 EndFraction plus 1 Question content area bottom Part 1 Identify the asymptotes. There is a vertical asymptote at xequalsenter your response here. There is a horizontal asymptote at yequalsenter your response here. Part 2 Choose the correct graph below.

Answer 1

The vertical asymptote occurs at x = 4, and the horizontal asymptote occurs at y = 1.

The domain of the function is all real numbers except x = 4, so the domain is (-∞, 4) U (4, ∞).

The range of the function is all real numbers except y = 1, so the range is (-∞, 1) U (1, ∞).

The correct graph would show a vertical asymptote at x = 4 and a horizontal asymptote at y = 1. The graph would approach these asymptotes as x approaches 4 and as x approaches infinity.