Determine the Equations of the Vertical and Horizontal Asymptotes of the Graph

question 381

Multiple Choice

Determine the equations of the vertical and horizontal asymptotes of the graph of the function $f ( x ) = \frac { x } { x - 4 }$ .

• A)horizontal: y = 0 ; vertical: x = 4
• B)horizontal: y = -4 ; vertical: x = 0
• C)horizontal: x = 0; vertical: y = 4
• D)horizontal: x = 4 ; vertical: y = -1
• E)horizontal: y = 1 ; vertical: x = 4

---

Definitions:

Radius

The distance from the center of a circle to any point on its circumference.

Center

In geometry, the central point of a circle or sphere, equidistant from all points on the perimeter or surface.

Radius

A line segment from the center of a circle to any point on its circumference, or the length of this segment.

Equation

A mathematical statement that asserts the equality of two expressions.