Question

the x - and y - intercepts and the vertical and horizontal asymptotes. (if an answer does not exist, neessary) x - intercept (x,y)=(5,0) y - intercept (x,y)=(0,5) vertical asymptote horizontal asymptote

Explanation:

Step1: Find vertical asymptote

Vertical asymptote occurs where the function is undefined. From the graph, the vertical line \(x = 0\) is where the function has a break.

Step2: Find horizontal asymptote

Horizontal asymptote is determined by the behavior of the function as \(x\to\pm\infty\). From the graph, as \(x\to\pm\infty\), \(y = 1\) is the horizontal asymptote.

Answer:

vertical asymptote: \(x = 0\)
horizontal asymptote: \(y = 1\)