Direction: Sometimes use of graph is very important to find the number of solutions of an equation. To find the number of solutions of the equation \[{{f}_{1}}(x)={{f}_{2}}(x)\]. We drain the graph of\[y={{f}_{1}}(x),\]\[y={{f}_{2}}(x)\] and the number of point of intersection of these graphs is equal to the number of solution. Let us consider the function \[f(x)=\,|x-1|+\,|x-3|+\,|x-7|+|x-13|\] |
A) zero
B) two
C) three
D) infinitely many
Correct Answer: D
Solution :
\[f(x)=16\] has infinitely many solutions.You need to login to perform this action.
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