Lastly, we discussed what happens to f(x) = (1 + 1/x)^x as the values of x get larger and larger. We did calculations using the TI-Nspire. We were able to relate to the definition of e as the limit as x goes to inifinity of (1 + 1/x)^x. This value is used as the base in the continuously compounded interest formula, A(t) = Pe^(rt). We did a couple of example together and showed where to find the e button on the calculator. We also reviewed solving by graphing using the TI-Nspire calculators.
Use the link for additional review/practice
https://www.youtube.com/watch?v=vyJM1n0AvZI
https://www.youtube.com/watch?v=auVH-tAxYgI
HW: Complete the front side of the Half-Life and Pe^(rt) worksheet.
Quiz tomorrow on our work from last week on exponential functions.