
William W. answered 11/14/20
Math and science made easy - learn from a retired engineer
If you want to know if a piecewise function is continuous, just plug in the "boundary x" to see if the y-value is the same for the two pieces.
(5)2 - 20 = 5
-(5)2 + 20 = -5
Therefore the function is not continuous at x = 5 (it has a "jump")