Question

1. 2 / 4 points from the graph, determine the x - and y - intercepts and the vertical and horizontal asymptotes. (if an answer does not exist, enter dne. enter your x - intercept $(x,y)=(quad)$ y - intercept $(x,y)=(quad)$ vertical asymptote horizontal asymptote

Explanation:

Step1: Find vertical asymptote

Vertical asymptote is the line \(x = a\) where the function approaches infinity as \(x\to a\). From the graph, the vertical asymptote is \(x = 1\).

Step2: Find horizontal asymptote

Horizontal asymptote is the line \(y = b\) which the function approaches as \(x\to\pm\infty\). From the graph, the horizontal asymptote is \(y = 1\).

Answer:

vertical asymptote: \(x = 1\)
horizontal asymptote: \(y = 1\)