1. (5 pts.) Use the Extreme Value Theorem to find the extrema of f(x) = =1 - ;1 +6r on 10 6 2. (5 pts.) For the following function and closed interval, find all values ce (a, b) such that f'(c) = f(6) - f(a) . b - a f(x) = x - 5x + 4 on [0, 2]. BI. (BONUS: 1 pt.) Let f(x) = ar + br + c. Show for any interval [a, 8], the value YE (a, 8) such that f'(x) = _ _ f( B) - f(a) B -Q B-a - is 7 = 2