Consider the function f(x)= x −1≤ x< 0

Question

f(x)=tan(x) 0≤ x ≤ π/4

a. Draw a neat sketch of this function.
b. Is f(x) continuous at x = 0? (Justify your answer.)
c. Is f(x) differentiable at x = 0? (Justify your answer.)
show steps! Thanks!

Answer 1

a I assume you can sketch graphs
b yes f(0) = 0 and limit=0 from both sides
c yes f'(0) = 1 and limit of f' = 1 from both sides