consider the function
Hint: use the Intermediate Value Threom
for 2) How would you prove
compare with the above problem and adapt the proof.
uniform continity state that for every epslion > 0 there exits a delta
fix epsilon > 0 find a delta on [a,b] and [b,c]
How could we get a delta that would work on [a,c]?
I hope this helps.