Questions:

4. (3 points each) Decide if each statement below is true or false. If true, explain why. If false, provide a counterexample. b (a) If f(;17) 2 9(a) for all :r-values in the interval [(5, b], then / (at) g(;r)) ale; 2 0. b (b) If / (x) g(:r:)) d1: 2 0, then x) 2 9(3") for all :r-valnes in the interval [a, b]. 2. (6 points each) Sketch each region R described below. Then, compute the area of R. (a) R is the region bounded between y = |:r| and y = :I:2 + 2. (b) R is the region bounded between y : 373 and y : 91".. J: (c) R is the region bounded between :1: 2 if and y = 1 I You do not need to simplify your&quot