Use a graph to determine whether the given function is continuous on its domain. If it is not continuous on its domain, list the points of discontinuity. $g ( x ) = \frac { x - 4 } { x + 2 }$
A)The point of discontinuity: 2.
B) The function is continuous on its domain.
C) The point of discontinuity: 0.
D) The points of discontinuity: 4, 0.
E) The points of discontinuity: -2, 0.

Question

Use a graph to determine whether the given function is continuous on its domain. If it is not continuous on its domain, list the points of discontinuity.   $g ( x ) = \frac { x - 4 } { x + 2 }$  
A)The point of discontinuity: 2.
B) The function is continuous on its domain.
C) The point of discontinuity: 0.
D) The points of discontinuity: 4, 0.
E) The points of discontinuity: -2, 0.

Quizplus · Accepted Answer

The function is continuous on its domain because the graph has no breaks or holes.

Use a Graph to Determine Whether the Given Function Is g(x)=x−4x+2g ( x ) = \frac { x - 4 } { x + 2 }g(x)=x+2x−4​

Use a Graph to Determine Whether the Given Function Is $g ( x ) = \frac { x - 4 } { x + 2 }$