Let f_{0}(x)=x+|x-100|-|x+100|, and for n \geq 1, let f_{n}(x)=\left|f_{n-1}(x)\right|-1. For how many values of x is f_{100}(x)=0 ?
Answer Choices
A. 299
B. 300
C. 301
D. 302
E. 303
Let f_{0}(x)=x+|x-100|-|x+100|, and for n \geq 1, let f_{n}(x)=\left|f_{n-1}(x)\right|-1. For how many values of x is f_{100}(x)=0 ?
Answer Choices
A. 299
B. 300
C. 301
D. 302
E. 303