1. Sketch the graph of each function and determine whether the function has any absolute extreme values on its domain. Does your solution agree with the Extreme Value Theorem, and why? Recall the Extreme Value Theorem: If f is continuous on a closed interval [a, b]. then f attains both an absolute maximum value M and an absolute value m in [a, b]. i.e., there are numbers x1. x2 E [a, b] with f(x1) = m. f(x2) = M. and m S f(x) S M for all x E [a, b]. (a) f(x) = 12x+11. -2