This worksheet reviews limits and the definition of the derivative with graphs and computations 1 Answer the following questions using the graph y f x below The function f x has domain all numbers except 7 as seen from the graph a lim f x b lim f x c f 0 d lim f x e lim f x x 0 x f lim h 0 15 14 13 12 11 101 761 g f 5 f 3 h 5 h 25 20 15 10 3 10 h lim h 0 j lim h 0 10 11 12 13 14 k lim h 0 f 8 h f 8 h f 8 h h f 6 h f 6 h f 3 h 5 h 1 List all the intervals where the derivative f x is negative m List all the intervals where the derivative f x is decreasing n A critical value for f x is any z in the domain of f x where f x 0 or f x is undefined List all critical values of f x