Question

Determine whether each function is continuous. If it discontinues state where any discontinuities occur. (Dont graph this btw)
F(x) = {2-x^2} if x1

Answer 1

Basically the question is asking if there is a jump (discontinuity) at x=1.
Does 2-x² = x at 1?
2-1 = 1
1 = 1
So the function is continuous at x=1.