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Answer :

Since the given interval is from 1 to infinity or (1, ∞) then we will be using the second function in the piecewise function which is:

[tex]s(x)=-\frac{1}{5}x[/tex]

because the condition for this function is x > 1.

Since this function is linear and has a negative slope, then the general shape and direction of this function are shown in the graph below.

View image NadjaQ84028