What's the meaning of this function

Question

f(x) = sinx

Max f(t), 0≤t≤x for 0≤x≤π

 

Please attach the graph and the explain the procedure

Answer 1

THE GRAPH OF THE SINE FUNCTION IS EXTREMELY WELL KNOWN. IT HAS A PERIOD OF TWO PI, BUT ONLY HALF OF THAT PERIOD IS DESIRED ACCORDING TO THE RESTRICTION TO INTERVAL [0,PI].

THE MAXIMUM VALUE IS 1 AND THE MINIMUM VALUE IS 0 UNDER THE STATED RESTRICTION.