question_answer

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 \[f(x)=\,|x-1|+\,|x-3|+\,|x-7|+|x-13|\]

The number of solutions of  \[f(x)=16\] is

A)  zero                            

B)  two               

C)  three             

D)  infinitely many