Determine the domain and the equations of the horizontal and

Determine the domain and the equations of the horizontal and vertical asymptotes for the graph of the rational (- infinity, 2) union (2, infinity), y = 2, x = 1 (- infinity, 2) union (2, infinity), y = 1, x = 2 (- infinity, 1) union (1, infinity), y = 1, x = 2 (- infinity, 1) union (1, infinity), y = 2, x = 1

Solution

Domain means all possible values of \"x\".

The graph exists for all values of \"x\" except for x = 1

so the Domain is ( - infinty, 1) U (1, infinity)

Asymptote means a straight line that continually approaches a given curve but does not meet it at any finite distance.               // which means the line meets the graph at infinity

so in this graph we have two asymptote

x = 1 and y = 2