1. For the graph of this polynomial function, determine the following: + YA X 0 8. 12 a) the least possible degree b) the sign of the leading coefficient c) the x-intercepts and the factors of the function d) the intervals where the function is positive and the intervals where it is negative /5 2. Determine the equation with least degree for the polynomial function: a quintic function with zeros -2(multiplicity 3) and 4 (multiplicity 2), and y-intercept = -32 13 3.4 Assignment (PC30) Pag /10 3. The graph of y=x3 is transformed to obtain the graph of y = -2(4(x+1)) - 5. Describe each of the transformations and then copy and complete the table. Sketch the function. y=x (-2, -8) (-1,-1) y=-2(4(x+1))3-5 (0, 0) (1, 1) (2,8) 4. Without using a graphing calculator, determine the following and sketch for: y=x-4x-5x a) the zeros of the function 13 13 b) the degree of the function c) end behaviour of the function d) the y-intercept e) sketch 13 f) the intervals where the function is positive and the intervals where it is negative 12 3.4 Assignment (PC30) Page 3 12. g) test point 5. Without using a graphing calculator, determine the following and sketch for: f(x)=-x +19x+6x-72 a) the zeros of the function 13 13 b) the degree of the function c) end behaviour of the function d) the y-intercept e) sketch 13 f) the intervals where the function is positive and the intervals where it is negative 12 /2 q) test point