Page 4 of 11 VVS: 31 A3 Summer 23 Page 5 of 11 VVS: 31 A3 Summer 23 . Given the function h(x) =x(x -4) , find the following characteristics of its graph. 6. Find the absolute extrema for the function f (x)=-x -6x -5 on the interval [-7, 0]. (3 marks) a. Critical point(s) (3 marks) 7. For the following graph of y = f (x), using interval notation, state where the function b. Intervals of increase and decrease (3 marks) -2 a. is increasing (1 mark) b. is concave up (1 mark) c. has inflection point(s) (1 mark)Page 8 of 11 VVS: 31 A3 Summer 23 Page 9 of 11 VVS: 31 A3 Summer 23 10. Follow the Steps to Successful Curve Sketching to sketch the graph of f (x) =- . Symmetry (1 mark) Show all steps to earn full marks. a. Domain (1 mark) e. Intervals of Increase and Decrease and Critical Point(s) (4 marks) b. Intercepts (1 mark) C. Asymptotes (2 marks)VVS: 31 A3 Summer 23 VVS: 31 A3 Summer 23 Page 10 of 11 Page 11 of 11 f. Local Extrema (0.5 marks) h. Sketch of f (x)= (2 marks) x? - 4 g. Concavity and Inflection Point(s) (5.5 marks) End of Assignment