please show explanation for each

Part 1-2: Functions and Factoring /14 1. Answer the following, given the set of ordered pairs: {(0,1), (1,3), (2,5), (3,7), (4,9), (5,11); (3) a) f(2) = b ) f ( 2 + 3 ) = c) f(2) + f(3) = 2. Write the appropriate letter below each multiple choice question. (3) For y = -5(x - 4)" - 9 we have: For y= -5(x - 4) - 9 we have: For y= -5(x - 4)" - 9 we have: A) a horizontal shift left 4 units A) a vertical shift up 4 units A) a vertical stretch by 5 B) a horizontal shift right 4 unit B) a vertical shift down 9 units and a vertical reflection C) a horizontal shift left 9 units C) a vertical shift up 9 units B) a vertical stretch by 4 D) a horizontal shift right 5 units D) a vertical shift down 5 units and a vertical reflection C) a vertical compression by 9 and a vertical reflection D) a vertical compression of 4 Answer: Answer: Answer: 3. Identify the type of function (Linear, Quadratic, or Other). (2) A B V V 0 77 0 19 1 75 1 11 2 69 2 7 3 59 3 5 4 45 4 4 4. What are the factors of x' +7x+10? (2)5. Determine the value of b that would make 49x3 + bx +81 a perfect squared trinomial. (2) 6. The equation 6x3 +1 1x-81 can be written as 6x' + px+qx-81, where the values of 'p' and 'q' will share common factors of 6x and -81 respectively. What are the values of 'p' and 'q"? (2)Part 3: Standard and Factored Form /14 1. Solve for the value of *x'. a) (5x+9)(2x+7)=0 (2) b) 10x' +13x-3=0 (3) 2. Using symmetry, determine the coordinate of the vertex for f (x) =-3(x+2)(x-6). (3) 3. The equation y=2x3 -5x +6 has y-intercept of (0,6). What is the coordinate of the symmetric point to (0,6)? (3) 4. Write the factored relation that passes through the points (3,0), (1 1,0), and (2,-36). (3)Part 4: Vertex Form /14 1. An object is propelled vertically. The equation h(t) = -4.9t- + 42t + 3.5 represents the relation between the object's height h(t), in metres, and time 't' in seconds. a) When will the object reach a height of 75m? (4) b) When does the object reach its maximum height? (2) c) What is the object's maximum height? (1)2. A theatre company's profit, P(x) in dollars, on a recent stage production is modeled by the equation P(x) = -40x + 6000x - 40 000, where 'x' is the cost of a ticket in dollars. What should the company charge per ticket to make the maximum profit and what is the maximum profit that can be earned? (5) 3. For the function f(x) = -3x2 + 7x -5, show that the function cannot equal zero. (2)