completely stuck, please explain in detail/step by step so I can learn as much as possible. Thanks in advance.

(c) The previous two examples give us some hints to determine the following unknown constant: de- termine the value of the constant c for which the function c2 + 3 + 2 f (a) = if x #-1 if x = -1 is continuous at -1. 3. (3 points) Apply the Intermediate Value Theorem to verify that f(r) = 0 has at least one solution on the interval (1, 2), where f(x) = 23 - 212 + 4x -4