# Math Help - continuity

1. ## continuity

plz help,

at x=3 the function given by

f(x)= x^2 , x<3
6x-9 , x ≥ 3
is the function both continuous and differentiable?

2. Originally Posted by wolfxpax
plz help,

at x=3 the function given by

f(x)= x^2 , x<3
6x-9 , x ≥ 3
is the function both continuous and differentiable?
what are the requirements for a function to be continuous at a value x = c ?

3. its needs to be defined?

4. Rule I: If you do not know the meaning of words in a problem, do not even start on the problem until you have looked up those words!

No, just being "defined" at a point does not mean a function is continuous or differentiable at that point. What is the definition of "continuous"? What is the definition of "differentiable"?

5. Originally Posted by wolfxpax
its needs to be defined?
have a look at the link ...

Pauls Online Notes : Calculus I - Continuity