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Precalculus 6.0 2416 Cumulative Review IV Name________________________ Date:____________ Pd_________ ALL WORK IS TO BE COMPLETED ON SEPARATE PAPER. IT IS EXPECTED THAT YOUR WORK WILL REPRESENT COMPLETE, NEAT AND ORGANIZED SOLUTIONS TO THE STATED PROBLEMS 1. For the function f ( x) x3 1 , provide the following: 2 x 2 3x 9 a) x- intercept(s) by ordered pair: b) y- intercept by ordered pair: c) equations for any asymptotes (vertical, horizontal and/or slant) d) sketch 2. The half-life of a radioactive isotope is 1,243 years. If the initial quantity is 6 g, how much would be left after 1,000 years? 3. approximate answer(s) to 3 decimal places. Show work. a) 10e2 x 17e x 63 b) log2 (3x 2) log2 2 x 3 2 4. Write an equation of a polynomial with integral coefficients having 1 2 the following zeros: 0, , 2 i . 5. Find f g if f x x 1 x2 and g x . 3 x 2x 1 6. Evaluate showing work. 59 8 a) 4k 3 b) j 12 k 1 c) 4 2 3 r 0 9 r 7. Given f x 2 x and g ( x) a) D f g 2 3 j i 10 d) i 3 2 2 x3 , determine showing work 9 2x b) Dg f 8. Given the graphs below, find the domain of f g and f . g