Let g ( x ) = F(t ) at (d) Sketch a rough graph of g. y y where f is the function whose graph is shown in the figure. 12/ 24- 6 18 y 12 X 12 N 4 6 - 6 6 6 -12 3 2 4 6 8 -18 - 6 -1 2 3 7 8 -3 O-24 O-12 -6 _9 -12 60 X (a) Estimate g(0), g(2), g(4), g(6), and g(8). -6 2 4 6 8 54 g(0) = -12 48 -18 42 9(2) = -24 36 g ( 4 ) = -30 30 g (6) = -36 24 -42 18 g (8) = -48 12 -54 L X (b) Find the largest open interval on which g is increasing. (Enter your answer using interval notation.) O-60 2 4 8 O 6 Find the largest open interval on which g is decreasing. (Enter your answer using interval notation.) (c) Identify any extrema of g. g has a ---Select- v of at x = -Select- (d) Sketch a roy minimum maximum y