Graph features and asymptotic behaviour of modulus functions
The question asks to identify specific features of the graph of a modulus-based function such as intersection points with asymptotes, axes, or other curves.
$$f ( x ) = \left| \frac { 2 x - 1 } { x - 1 } \right|$$ The graph of the function intersects its horizontal asymptote at the point (a, b). Accordingly, what is the sum $a + b$? A) $\frac { 5 } { 2 }$ B) $\frac { 7 } { 2 }$ C) $\frac { 8 } { 3 }$ D) $\frac { 9 } { 4 }$