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Math 180: Fundamental Theorem of Calculus 1. Let g ( x) x f (t ) dt , where f is the function whose graph is shown below. 0 a. Evaluate g (5) 5 f (t ) dt 0 b. On what interval(s) of x is g(x) increasing? c. For what value of x does g(x) have an absolute minimum value? d. For what value(s) of x does g(x) = 0? 2. Let g(x) x 0 f (t) dt . where f is the function whose graph is below. Determine if the following statements are TRUE or FALSE. EXPLAIN (in words) all of your answers!!! a. g(0) 0 b. g (1) 0 c. g(2) 0 d. g(1) 0 e. g is always increasing for x 0 f. g has a local maximum at x = 1 f (x)