Consider the odd function F that is continuous and differentiable and has the functional values shown in the table.
(I will post table below)
a) Determine f(4)
b) Determine f(-3)
c) What is the smallest number of critical points in the interval? Explain.
d) Does there exist at least one real number c in the interval (-6,6) where f'(c)=-1?
e)Is it possible that Lim(when x aproaches 0)f(x) does exist?
f) Is it necessary that f'(x) exists at x=2

Question

Consider the odd function F that is continuous and differentiable and has the functional values shown in the table.
(I will post table below)
a) Determine f(4)
b) Determine f(-3)
c) What is the smallest number of critical points in the interval? Explain.
d) Does there exist at least one real number c in the interval (-6,6) where f'(c)=-1?
e)Is it possible that Lim(when x aproaches 0)f(x) does exist?
f) Is it necessary that f'(x) exists at x=2