68b #11. Sketch a graph of fix] = Zen3 by applying transformations to the Five Amigos and asymptote of the parent function. Show all steps[ 68b #14. Sketch a graph of x] = 1- 3'\"{2 by applying transformations to the Five Amigos and asymptote of the parent function. Show all steps[ BBC #2. A certain patch of land sustains a wombat population. 1f the population is 12 now and expected to triple every 14 months. what will be the wombat population in ll] months? BBC #3. BiIIiumSO as a halflife of20 years. If you start with a IOUpound lump of this stuff, how much will be left after 50 years? BBC #5. Booum34 has a halflife of 40 months. There's a leakproof container of this stuff that's been stting in the corner for about sixteen years. If the leakproof container presently contains 2.5 kg of Boourn-34, how much was in the container 16 years ago? BBC #3 [modied]. in 197'5, the world population hit 4 billion [and everybody said wow]. in about 2012, it hit 7' billion. if this rate of growth continues, what will be the world population in 2060? 1. Write the exponential function with a base of 5. 2. What are the Five Amigos for f(x) = 7*? 3. Which exponential function can be used to model a geometric growth pattern with a common ratio r = 3? 4. On your scientific calculator, find e (you may need to do shift LN 1 = ). Write out every digit your calculator shows you. 5. What's cool about 30.631x and e0.693x ?61 Biff shows how to use the Five Amigos to sketch a quick graph of exponential functions. He also says not to forget something, What? T. Why shouldn't we use negative bases for exponential functions? 81 How does Biff generate a graph of a transformed function such as fix] = 2'3\"? ? 9. The population is now 80 and is expected to double every 2 years. Write an equation for the population 3: in terms of): years gone by. 10. A big old tree had :1. grams of carbonl4 while it was alive. Fast-forward to 2014: it now has 3' grams of carbon14. Where did the rest of it go? {Hintz carbonl4 behaves similarly to Biffanium238'] 683 #2. Use the Five Amigos to graph x] = 3" . Be sure to Show the asymptotel r N. 683 #6. Use the Five Amigos to graph x] = [E] _ Be sure to Show the asymptote