Step-by-step explanation:
solving functions separately.
1st: from given data taxi charges $1.00 for the first mile.so it is first rule of function.
[tex]y_{1} =1 , 0<x\leq 1[/tex]
2nd: the company charge $0.20 per tenth of a mile.so 2nd rule of the function will be
[tex]y_{2} =1+0.2.10(x-1)[/tex]
simplifying
[tex]y_{2} =1+2(x-1)[/tex]
[tex]y_{2} =x+2x-2[/tex]
[tex]y_{2} =x[/tex] , [tex]1<x<2[/tex]
piece wise function is f(x)={2 , 0<x<1
{x , 1<x<2
the graph of the function is given below
