Graph the function and write the domain and range in interval notation. f(x) =5* Part: 0 / 2 Part 1 of 2 Graph the function f (x) =5*. Tfox 45- 40-+ X 35-Graph the function and write the domain and range in interval notation. X 8 (x) = 5 Part: 0 / 2 Part 1 of 2 Graph the function g (x) = (). 45-+ 35Evaluate the function for the given values of x. Round to 4 decimal places. f(x) = ex Part: 0 / 4 Part 1 of 4 f (-3) =1 X 5Use the function below to answer the following questions f(x) =ex-4 (a) Use transformations of the graph of y = e to graph the given function. (b) Write the domain and range in interval notation. (c) Write an equation of the asymptote. Part: 0 / 3 Part 1 of 3 (a) Use transformations of the graph of y=e" to graph the given function. 10- 8- X 5 167 -11 -10 -9 -8-7 -6-5 -4 -3 -2 2 5 6 7 8 9 10 11Complete the table to determine the effect of the number of compounding periods when computing interest. Suppose that $16,000 is invested at 3.7% interest for 5 yr under the following compounding options. Round answers in the second column to the nearest whole number. Round answers in the last column to the nearest cent. Compounding Option n Value Result X 5 (a) Annually (b) Quarterly (c) Monthly n = $ (d) Daily n = 365 (e) Continuously Not ApplicablePenelope needs to borrow $ 12,000. She can borrow the money at 6.5% simple interest for 6 yr or she can borrow at 5% with interest compounded continuously for 6 yr. (a) How much total interest would Penelope pay at 6.5% simple interest? (b) How much total interest would Penelope pay at 5% interest compounded continuously? (c) Which option results in less total interest? Part: 0 / 3 Part 1 of 3 (a) How much total interest would Penelope pay at 6.5% simple interest? At 6.5% simple interest, the total interest Penelope would pay is $ X 5Jerome wants to invest $26,000 as part of his retirement plan. He can invest the money at 5.4% simple interest for 30 yr, or he can invest at 3.5% interest compounded continuously for 30 yr. Which investment plan results in more total interest? 3.5% interest compounded oontinuously O 5.4% simple interest In 2010, the population of the United States was approximately 310 million with a 0.97% annual growth rate. At this rate, the population P (t) (in millions) can be approximated by P () =310(1.0097) , where t is the time in years since 2010. Part: 0 / 5 Part 1 of 5 (a) Is the graph of P an increasing or decreasing exponential function? The graph of P is (Choose one) V exponential function. X 5