Fill in the table of values for each function, then plot your points to graph each curve together on the grid to the right: a. x f(x) = 2x -2 -1 0 1 2 f(x) = = ex f(x) = 4x f(x) = 6* b. As the base, b, increases, what happens to the graphs? c. For all of these exponential functions (where b > 1), what's the domain? d. For all of these exponential functions (where b > 1), what's the range? e. For all of these exponential functions (where b > 1), what's the y-intercept? f. For all of these exponential functions (where b > 1), are the graphs increasing or decreasing? g. For all of these exponential functions (where b > 1), is the asymptote vertical or horizontal? h. State the equation of the asymptote:

The size of the raccoon population in a park increases  at 4.9%, with a current population at 119, how many more raccoons should be there in 6 years? Use the function f(x)=119e0.049t

Suppose a rumor is spreading that the government plans to give each college student $1000. Asssume that 20 people have heard the rumor as of today and that each day the number of people (past and present) who have heard it triples. Let f(t) be the number of people (past and present) who have heard the rumor at t days since today. a. Find an equation of f. b. How many people (past and present) will have heard the rumor 10 days from now? c. How many people (past and present) will have heard the rumor 15 days from now? Has model breakdown occurred? [Hint: Assume that the population is 112 million.] a. Find an equation of f. f(t) = ¹ b. How many people (past and present) will have heard the rumor 10 days from now? people c. How many people (past and present) will have heard the rumor 15 days from now? people Has model breakdown occurred? A. Model breakdown has occurred because the value for f(15) is greater than the population. B. Model breakdown has not occurred because the value for…

Use a calculator with a yx key or a Λ key to solve: The 1986 explosion at the Chernobyl nuclear power plant in the former Soviet Union sent about 1000 kilograms of radioactive cesium-137 into the atmosphere. The function f(x) = 1000(0.5) x /30 describes the amount, f(x), in kilograms, of cesium-137 remaining in Chernobyl x years after 1986. If even 100 kilograms of cesium-137 remain in Chernobyl’s atmosphere, the area is considered unsafe for human habitation. Find f(80) and determine if Chernobyl will be safe for human habitation by 2066.