Question

Let f be the function defined as follows

Answer 1

b) Describe all values of a and b for which f is a continuous function.
c) For what values of a and b is f both continuous and differential?

Answer 2

a function is continuous at \(x=a\) if\[\lim_{x\to a^-}f(x)=\lim_{x\to a^+}f(x)=f(a)\]