Please explain all your solutions IN WORDS as well. 1. a) b) and c) are about rational functions and Unit 3 questions 1. 2. 3. are about logarithms. These are advanced functions and pre-calc questions. Thank you.

1. a) What is the difference between the reciprocal functions of a linear equation and a quadratic equation? Use examples. b) State the asymptotes, intercepts, and domain and range for g(x). How do you know these to be true? c) Explain the steps in solving the following inequality. b) 90:) = H 2x+3 x+3 x2 cZ x+1 x3 Unit 3 1. Explain the steps in solving the following logarithm. Be specic about the laws you used to solve. log12-3|092+2|093 2. One minute after a 100mg sample of P0l0nium218 is placed into a nuclear chamber, only 80mg remains. What is the halflife of polonium218? How would you solve this problem- be specic to laws and formulas. 3. : A bacteria culture doubles every 15 minutes. How long will it take for a culture of 20 bacteria to grow to a population of 163 840