Determine whether the Mean Value Theorem applies to the following functions on the given interval [a, b].

If so, find or approximate the points that are guaranteed to exist by the Mean Value Theorem.

Make a sketch of the function and the line that passes through (a, f, (a)) and (b, f, (b)).

1. f(x) = 6 - x²; (1, 2) [5 marks]
2. f(x) = x +