At what points is the given function continuous?
-$$f ( x , y ) = \sqrt { 2 x + 7 y }$$
A) All (x,y)
B) All (x,y) such that $2 x + 7 y \geq 0$
C) All $( x , y )$ such that $2 x + 7 y \neq 0$
D) All $( x , y )$ such that $x + y \geq 0$

Question

Quizplus · Accepted Answer

The function is defined for all values of x and y but the square root will only be defined if the value inside the square root is non-negative. Therefore, $2x+7y \geq 0$ must hold for the function to be continuous. This is true for choice B. All other choices include points where the function is not defined.

At What Points Is the Given Function Continuous? - f(x,y)=2x+7yf ( x , y ) = \sqrt { 2 x + 7 y }f(x,y)=2x+7y​

At What Points Is the Given Function Continuous?
- $f ( x , y ) = \sqrt { 2 x + 7 y }$