7. a) Given the function, h(x)= x- x -6 -6-5x-x2 -, determine the equation, in factored form. (1) b) Determine the key characteristics of the function. (4) vertical i) asymptotes(s) (0.5) horizontal ii) (0.5) 2 asymptotes iii) x-intercept (0.5) LX -8 -6 -4 -2 2 4 6 8 iv) -2 y-intercept (0.5) -4 v) as x ->-00 then h(x) -> (0.5) -6 vi) as x -> too then h(x)-> (0.5) c) Sketch the graph of the function, h(x). Label all asymptotes and intercept(s). (2)