Finding ?f? from ?f??? Create the graph of a continuous function ?y? = ?f?(?x?), where Is there more than one possible graph?

SOLUTION STEP 1 The graph of the given derivative function is Since this is a graph of derivative,we can understand that it is the slope of the original graph. Here,we can observe that the slope is positive for values x > 0 and is negative for values x > 1. and is constant for 0 < x < 1 STEP 2 A possible function to this graph is STEP 3 Given On integrating ,we get where c is any real number. Therefore there is infinitely many possibilities of graph of f(x)