1) Simplify the following, using only positive exponents. (2k -3m n)4 x (kmn3) : (3k-'m-2n)2 2) Solve for x: -68x+8 - 3 = -231 3) Given f(x) = (f 3 4 a) State the domain and range of f (x). b) Find the intercept(s) and any asymptote(s) of f(x). c) Find the inverse of f(x). d) On the grid below, graph f(x) and its inverse. Carefully label your graphs. [2A] . | l | . | ' ' ' ' ' ' ' ' ' |cl3l35 4) A = P(1 -17) is the formula for the depreciation of a car where A is the final value, P is the initial value, r is the rate and n is the number of years. The average vehicle depreciates in value by 8.524% every year. When will the same car be worth half its value? 5) Solve for all possible values of x. a) In x + In 2 = In 7 - In 3 b) log4 (x - 3) + log4(x + 9) = 3 6) Solve: 10g3(n2 - 12) = 10g3(-9n - 2)7) The Richter Scale Equation is R = logjC where 16 is the intensity of the earthquake (measured by a seismograph reading taken from 250 km from the epicenter of the earthquake) and In is the intensity of a \"standard earthquake\" (whose amplitude is 1 micron = 104 cm). Basically it's the measure of how much the earth moved during the earthquake (16) versus how much the earth moves on a normal day (In). On April 18, 1906, there was an earthquake in San Francisco the measured about 7.9 on the Richter scale and killed more than 3500 people. It is believed that an earthquake 4 times stronger will hit San Francisco within the next 20 years. What will be the magnitude of that earthquake