Question

Which is the graph of the sequence defined by the function f(x) = 100(0.5)x - 1?

On a coordinate plane, 4 points are plotted. The points are (0, 100), (1, 50), (2, 25), (3, 12.5).

On a coordinate plane, 4 points are plotted. The points are (1, 100), (2, 50), (3, 25), (4, 12.5).

On a coordinate plane, 3 points are plotted. The points are (0, 100), (2, 90), (4, 80).

Answer 1

Interpret f(x) = 100(0.5)^{x-1}. For integer x = 1,2,3,4:

- f(1) = 100(0.5)^{0} = 100
- f(2) = 100(0.5)^{1} = 50
- f(3) = 100(0.5)^{2} = 25
- f(4) = 100(0.5)^{3} = 12.5

So the correct graph is the second one: (1,100), (2,50), (3,25), (4,12.5).