1. Consider the following function, (x) = 2x +3x2 x-x-6 Factor, reduce and state any restrictions for x. Show all algebra steps. (2 marks) a. b. Algebraically determine the y-value for the point of discontinuity. (1 mark) c. Complete the tables below. Describe the behavior of the function as x approaches positive and negative infinity and state the equation for the horizontal asymptote by filling in the blanks below. (2 marks) f(x) x f(x) 10 -10 -10 100 -100 As x approached +o, f(x) approaches As x approached -, f(x) approaches. The horizontal asymptote is 30 9 7 6 S 3 d. Sketch a graph. Show and label asymptotes and the point of discontinuity. (1 mark) 2 4 2 3 2 B e 1000 30 -1000 from from 10 000 -10 000 100 000 5 -100 000 . (above or below) _.(above or below)