Question

Let f be the function defined by
f(x) =

x^2 if x<0

square root x if 0 ≤ x <1

2-x if 1 ≤ x< 2

x-3 if x ≥ 2

For what numbers x is f not continuos?

1 only
2 only
0 and 2 only
1 and 2 only

Answer 1

0 is ok f(0) = 0
1 is ok, f(1) = 1
2 is NOT ok, f(2) = 0 and -1

Answer 2

If 0 and 1 is okay which answer would I Pick? It wouldnt be C or D

Answer 3

Nevermind it says not Continuous. So do I just plug in these numbers to each equation? Like Im confused how to solve it

Answer 4

If you get more than one value of f(x) for any x, the value changes instantly there. That is discontinuous. so if x = 2, tragedy.