1. Solve, and express the answer in interval notation: |8x - 7| 2 6 2. Solve the rational inequality, using a sign diagram, and express your solution in interval form. x+1 x - 3 3. Use the properties of logarithms to write the expression as a single logarithm. 4 log x - log 5 + log(x - 2)4. Determine the interval(s) on which the function is decreasing. -2 5. Sketch the graph of y = g(x) and its asymptote(s) by starting with the graph of y = f (x) and using transformations. Track at least three points of your choice and the horizontal vertical asymptote through the transformations. State the domain, range of g and transformations. Computer generated graphs are not acceptable. f(x) = 2", g(x) =2*-4+36. Points (-7, 2) and (1, 4) are endpoints of the diameter of a circle. (a) What is the exact length of the diameter? (Simplify as much as possible) (b) What is the center of the circle? (c) What is the equation of the circle