Step 1lGiven, The gnaph of a function 'f'Here f(x) is continuous on x in(0,5) But not on x=0, and 5 because x rarr0^(-)&quadx^(a)rarr5^(+)' f ' is not deterinined.check difterentiatility on x in(0,5)Here f(x) has two different type of graph (one is streight line 8 second one is stee-p curve). So, we have to check at joint point of woth curve. (Jomt point x=3 )f(x) is strenght une & panallel to x-axis on the left of x=3So f^(')(x rarr3^(-)) ... See the full answer