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. $f ( x ) = \frac { | x | } { 4 x } + 4$
A)The point of discontinuity: 4.
B) The points of discontinuity: $\frac { 1 } { 4 }$ , 0.
C) The points of discontinuity: 4, 0.
D) The function is continuous on its domain.
E) The point of discontinuity: 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.   $f ( x ) = \frac { | x | } { 4 x } + 4$  
A)The point of discontinuity: 4.
B) The points of discontinuity: $\frac { 1 } { 4 }$ , 0.
C) The points of discontinuity: 4, 0.
D) The function is continuous on its domain.
E) The point of discontinuity: 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 f(x)=∣x∣4x+4f ( x ) = \frac { | x | } { 4 x } + 4f(x)=4x∣x∣​+4

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