Question 151012: Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each funtion changes with increasing values of x.
f(x) = 5x -3
Answer by mangopeeler07(462)   (Show Source):
You can put this solution on YOUR website! f(x) = 5x -3
where x=1, 2, 4, 8, and 16.
f(1)=5(1)-3
f(1)=2
f(2)=5(2)-3
f(2)=7
f(4)=5(4)-3
f(4)=17
f(8)=5(8)-3
f(8)=37
f(16)=5(16)-3
f(16)=77
Differences in order are 5, 10, 20, and 40. Therefore, the rate of increase doubles every time the value for x doubles. For every increasing value of x, f(x) increases by 5. In other words,  . This also can be described as  .
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