Please answer all questions and show your work for all the questions. These questions are about exponential functions. Please show your work step by step.

1. Simplify fully. Write each expression with positive exponent: only: a: ( ea '3 a 3-2700" b '4 b (2:: 5b '2) 2) [3A] ) transformation, use different colors for each transformation and clearly show the transformation of at least 3 points on each graph. Lobe! your graphs cleanly" Don't forget to label your asymptote! . 3. An isotope of sodium. Na 24, has a half life of 15 hours. A sample contains 42.8 grams of Na 24. Find the remaining sodium after 5 days. 4. State the parent functions and the transformation ofthe functions using proper order and mathematical language; 1, =_ 2(%]3x + 1 5. Explain how you know when an exponential function of the form 3.: = {1(1)}; is increasing or decreasing. Provide an example of each case. 6. An antibacterial substance is applied to a bacteria culture of 5000 bacteria. After 10 days, the population of bacteria is down to 100. What is the decay rate per day of the population caused by the substance