g(x)= {0 if x<0

Question

{x^2-2x if 0≤x≤2
{2 if x>2

Find all values x=a where the function is discontinuous.

Is the answer 0 and 2 or just 2?

Answer 1

x<0 , 0 ≤ x ≤ 2 , x > 2

all the x's "link" properly with no gaps, everybody is accounted for.

So there are no values of x where the function is discontinuous

( that is, for every x that I choose, I can find a y value)

Answer 2

g(x)= {0 if x<0
{x^3-3x if 0≤x≤3
{3 if x>3

If it was like this one. Then what? Same

Answer 3

so answer would be none or nowhere.