Determine the continuity of the function f(x, y, z)= O continuous except at (0,5, 0) O continuous except at (0, 0, 1) continuous for x² + y² = 5 O continuous for x² + y² #5 O continuous except at (9, 0, 1) 9z x² + y²-5

True of False: Suppose a function is continuous on [a, b] where a < b and differentiable on (a, b) can this function have these three properties f(a) = 0, f(b) = 0, and f′(x) > 0.

The discontinuity can be removede by settinng the f(0,0) at what point?