Q1) Sketch a graph of a function that has an absolute maximum, a local minimum but no absolute minimum on [0,3].

Q2) True/False: The function f(x)=sqrtx has local minimum and local maximum on the interval [0, inf]. Explain your reasoning.

Q3) Sketch a graph of a function that satisfies f'(x)<0 and f''(x)>0 on (-inf,0); f'(x)>0 and f''(x)>0 on (0, inf)

Q4) Is it possible for a function to satisfy f(x)>0, f'(x)>0 and f'''(x)<0 on an interval? Explain