1. Use the characteristics of the given function to graph the function and it's reciprocal on the same set of axes, either using online graphing technology or by hand, Find and state all aspects needed to sketch the function and its reciprocal, where possible. Explain your thinking process. [K6] [C2] f(x) = -x2+ 7x-62. a. Fill in the table and sketch the graph of the following equation. [A10], [C2] f(X) = - -2x - 5 3X + 18 Vertical Horizontal x- intercept y-intercept Domain asymptotes asymptotes2 b. State positive and negative intervals for f(x)= =2x-5 [K2] Positive interval: Negative intervals: 3. Find the real roots of the following rational equations. [K8] [C2] -7x_ a. 9x + 11 12=1 b. X-1 _ 3x+8 X+2 5X-1 4. Solve the following inequality algebraically. Explain your process. [A4] [C2] 8x -3 s 2x +1 s 17x -85. Solve the following inequality algebraically. Include an interval chart in your solution. [A6] [C2] 5x+4 5X-7 X-11 x+13 6. The dimensions of a box are 3 cm x 5 cm x 7 cm. The width, length, and height of the box must be increased by the same amount X in order for the box to have a volume of 693 cm cubed. Determine the value of X that will produce a box with a volume of 693 cm3. [T4] [C2]