Ryan Rigdon
Junior Member
- Joined
- Jun 10, 2010
- Messages
- 246
At what points, if any, is the function discontinuous?
f(x) = x if x<0
f(x) = x^2 if 0 less than or equal to x less than or equal to 5
f(x) = 50 - x^2 if x>5
my work
lim (x goes to 0) f(x) = 0 = f(0)
lim (x goes to 5^+) f(x) = 25, lim (x goes to 5^-) f(x) = 25
So my conclusion is there are no points of discontinuity.
Correct?
f(x) = x if x<0
f(x) = x^2 if 0 less than or equal to x less than or equal to 5
f(x) = 50 - x^2 if x>5
my work
lim (x goes to 0) f(x) = 0 = f(0)
lim (x goes to 5^+) f(x) = 25, lim (x goes to 5^-) f(x) = 25
So my conclusion is there are no points of discontinuity.
Correct?