1) Determine the key features, if they exist, using the graph of the polynomial function shown. Assume all roots are at most order (multiplicity) three. [C - 10] a) domain using set (inequality) notation: b) range using interval notation: c) sign of a, and end behaviour: d) degree: e) symmetry: f) roots and their orders: g) value of a,: h) interval(s) of positive: i) interval(s) of negative: j) # of turning points & their type: 2) Consider the polynomial function g(x) = 2(x 1)2(x + 1)3. a) State the roots and their orders. [A = 2] b) Determine the y-intercept (constant term) algebraically. [A - 2] c) State the degree, value of the leading coefficient, and the end behaviour. [A - 3] d) Describe any symmetry. No justification is required. [A = 1] e) Sketch a rough graph of f(x) without using technology. [A = 2] 3) Consider the algebraic relation xl-1= yz. Use algebraic reasoning. without graphing, to determine if the relation is a function or not. [K/U - 2] 4) Consider the polynomial function f(x) = 3x3 + 2x 1. a) State the degree and all coefficients (using proper notation) of f(x). [K/U = 2] b) Without graphing, determine the maximum number of possible turning points on the graph f(x). Justify your answer. [K/U - 2] c) State the end behaviour of the function. Justify your answer. [K/U - 2] d) Compute the value of the constant finite differences algebraically. [K/U - 2] 5) Find an equation, in factored form, of the graph of the polynomial function shown below. Assume the order (multiplicity) of the roots may be at most three and the constant term of the function is =120. [T/l = 5] 7:50 dog. Q & l 66% UNIT 1 CHAPTER 1 - Tags + INTRODUCTION TO POLY... 6) Consider the polynomial function g (x) = x(x - 1)2(x + 1)2. a) Sketch the graph of g(x) without technology. Justify your reasoning beside the graph. [T/1 - 3] N W A -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 a in b W N b) Use algebraic reasoning to determine the symmetry, if any, of g(x). [T/I - 2] PDF Word . . . Add Edit PDF Share To Word More III O A