8 For the function f(x ) = (x- 1)14/17: And Of() = 4x]- alex~+ 3 (a) Find the critical numbers of f (if any); b) Find the open intervals where the function is increasing or decreasing; and c) Apply the First Derivative Test to identify all relative extrema. A) (a) x=1 (b) decreasing: (-0o, 1) ; increasing: (1, co) (c) relative min: f (1) = 0 B) (a) x=0 (b) increasing: (-0o, 0) ; decreasing: (0, co) (c) relative max: f (0) = 1 C) (a) x =1 (b) increasing: (-0o, 1) ; decreasing: (1, co) (c) relative max: f (1) = 0 D) (a) x=0 (b) decreasing: (-oo, 0) ; increasing: (0, co) (c) relative min: f (0) = 1 E) (a) x = 0,1 (b) decreasing: (-oo, 0) (1, co) ; increasing: (0, 1) (c) relative min: f (0) =1 ; relative max: f (1) = 0 9. Find the relative minima of f (x) = cos? (1 1x) on the interval (0, 1.142) by applying the First Derivative Test. Round numerical values in your answer to three decimal places. A) relative minima: (0.571, 0), (0.714, 0), (1.000, 0), (0.428, 0) B) relative minima: (0.143, 0), (0.286, 0), (0.571, 0) C) relative minima: (0.286, 1), (0.571, 1), (0.857, 1) D) relative minima: (0.286, 0), (0.571, 0), (0.857,0) E) relative minima: (0.143, 0), (0.428, 0), (0.714, 0), (1.000, 0) 10. Find the open internal (s) on which The function $(x1 = cos cox) is increasing in The interrival ( Q, 2, 094 ) Round numerical values in your answer to Three decimal places. Version 2 Page 6