3. The following relate to Rolle's Theorem, which is stated as follows. If function f: [a, b] → R is continuous at every point in its domain, differentiable every point on the interval (a, b), and satisfies the relation f(a) = f(b), then there must be a point o on the interval (a, b) such that f'(x) = 0. A. Rolle's Theorem is just a special case of the Mean Value Theorem. Explain. B. Rolle's Theorem does not apply to the function g: [-2, 2] → R defined by g(x) = |x|. Explain. C. Rolle's Theorem does apply to the function g: [-2, 0]→ R defined by g(x) = x³ + x² - 2x. Explain.

How would you answer #1c?

5. Find f og and g•f , where f(x) = x² + 1 and g(x) = x + 2, are functions from R to R.

Consider the function f defined by the formula J Aex-2 + cx f(x) = { x³ + cx² + B 3c if x < 2, if x ≥ 2. = = 2. (Enter the exact If A =19 and B = 1, then find the value of c for which f is continuous at a value as a decimal number.)