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1. Given g(x) = -4*-3+3 a) Identify the toolkit function f(x) that is related to g(x) and graph it. (2pts) b) State and describe the sequence of transformations from f(x) to g(x). (4pts) c) Find x- and y-intercepts and state the equation of horizontal asymptote of g(x). (4pts) d) Sketch all the transformations, horizontal asymptotes, and final graph of g(x) on the same set of coordinate axis. Label each graph. (5pts) 2. Given g(x) = 10g /3(x+ 2)+2 a) Identify the toolkit function f(x) that is related to g(x) and graph it. (2pts) b) State and describe the sequence of transformations from f(x) to g(x). (4pts) c) Find x- and y-intercepts and state the equation of horizontal asymptote of g(x). (4pts) d) Sketch all the transformations, horizontal asymptotes, and final graph of g(x) on the same set of coordinate axis. Label each graph. (5pts) 3. Solve exponential and logarithmic equations. Find closed solution and then use calculator to find decimal number. Round to 3 decimal places. a) log(3x+2) + log(9) = log(x+5) (10pts) b) log, (x+ 3) = 2+log2 x (10pts) c) 6* - 28 = -8 (10pts) 4. Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms log. (10ps) 5. Condense the expression to the logarithm of a single quantity 3In(x) - 2In(x+1) + 4In(x+2) (10ps) 6. a) Determine the balance A for $12,000 invested at a rate r = 4% for 6 years and compounded quarterly. (10ps) b) How long will it take to double $12,000 invested at a rate r = 4% compounded continuously? (10ps)