Determine the Continuity of the Function Below $f ( x ) = \frac { e ^ { x } + e ^ { - x } } { 2 }$

Multiple Choice

Determine the continuity of the function below. $f ( x ) = \frac { e ^ { x } + e ^ { - x } } { 2 }$

A) discontinuous at x = 0
B) continuous on the entire real number line
C) discontinuous at x = 1
D) discontinuous at x = 2
E) discontinuous at x = 4