Please help with this Advanced Function math.

There are only 6 questions, please don't write them on paper just write it below on a comment or use some software.

1. Use the characteristics of the given function to sketch it, and its reciprocal, by hand on the same set of axes. 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 3x+ 18 [K2] Positive interval: Negative intervals: 3. Find the real roots of the following rational equations. [K8] [C2] - 7x - 12=- a. 9x+ 11- b. x-1 3x+8 x+2 5x-1 4. Solve the following inequality algebraically. Explain your process. [A4] [C2] 8x - 3