UNIT 1 - ASSIGNMENT POLYNOMIAL FUNCTIONS TOTAL MARK / 25 Instructions: Show all work for full marks. Add space if you need to. Submit ONE FILE (PDF) under Unit 1 Assignment Folder in BrightSpace. 1. Without expanding, state the degree, the leading coefficient, and the end behaviours of the polynomial function g(x) = 2(x + 1)(3 - x)(x - 5). Provide a "sketch" of the function. Show all steps for full marks. 15 Degree (1 pt) Leading Coefficient (1 pt) End behaviours (1 pt) Y-intercept (1 pt) Sketch (1 pt) 2. Write the equation and then sketch, a quartic polynomial function with zeros at -2, 3 (order 3), if f(0) = 18. 13MHF4U Name: Due Date: October 25, 2023 @ 9:00 pm 3. Given the sketch of the graph of a polynomial function f(x), state: 16 a) Whether the function has a line symmetry, point symmetry or neither and explain why. (2 pts) b) Whether the function is even, odd or neither and explain why. (2 pts) 20 c) Any local/absolute maximum(s)/minimum(s) and where they are located. Provide approximate values if needed. (2 pts) -20 4. Describe the transformations that were applied to y = x to create y =- 7 (- 3x + 6) *+ 5 13MHF4U Name: Due Date: October 25, 2023 @ 9:00 pm 5. The table of values represents a polynomial function f(x). Use finite differences to determine the following: W 45 - 2 -16 3 0 0 2 0 3 9 4 32 a) the degree 'n' of the polynomial function f (x) (2 pts) b) the sign of the leading coefficient (1 pt) c) the value of the leading coefficient, a (2 pts) d) Find the equation of the polynomial function. (3 pts)