Exponential Functions

Exponential Functions

• 1.
  Suppose you areoffered a job that lasts one month, and you are to be very well paid. Which of the following methods of payment is more profitable for you? (a) ten million dollars at the end of the month. (b) two cents on the first day, four cents on the second day, 8 cents on the third day, and so on for 30 days.
• 2.
  Andrew Walker
• 3.
  The Exponentialfunction f with a base a is denoted by f(x) = a^x where a > 0, a ≠ 1, and x is any real number.
• 4.
  Complete a tablefor each of the following graphs: 3^x, 4^x, 2^(-x), 3^(-x), 4^(-x) for x=1,…,10. Answer to (b) of opening question in table. X Y=2^x 1 2 2 4 3 8 4 16 5 32 6 64 7 128 8 256 ……… 30 10,737,418.24
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• 7.
  Using the graphingcalculator graph the following exponential functions and remark on how the graphs are changed from the original function, f(x) = 3^x: f(x) = 3^(x+1) f(x) = 3^x – 2 f(x) = -3^x f(x) = 3^-x
• 8.