Problem 4E

Let g(x)=0xf(t)dt where f is the function whose graph is shown. a Evaluate g(0) and g(6). b Estimate g(x) for x=1,2,3,4,and5. c On what interval is g increasing? d Where does g have a maximum value? e Sketch a rough graph of g. f Use the graph in part e to sketch the graph of g(x). Compare with the graph of f.

Step-by-Step Solution