Determine the continuity of the function $f ( x , y ) = x + 6 y + 5$
A) continuous except at $( 6,5 )$
B) continuous except at $( 0,0 )$
C) continuous except at $( 6,0 )$
D) continuous except at $( 0,5 )$
E) continuous everywhere

Question

Determine the continuity of the function $f ( x , y ) = x + 6 y + 5$ 
A) continuous except at $( 6,5 )$
B) continuous except at $( 0,0 )$
C) continuous except at $( 6,0 )$
D) continuous except at $( 0,5 )$
E) continuous everywhere

Quizplus · Accepted Answer

The function is a linear function with constant coefficients, which means it is continuous everywhere. There are no operations that could cause any discontinuities.

Determine the Continuity of the Function f(x,y)=x+6y+5f ( x , y ) = x + 6 y + 5f(x,y)=x+6y+5

Determine the Continuity of the Function $f ( x , y ) = x + 6 y + 5$