3. Suppose that g is given by the graph at left in Figure 5.3 and that A is the corresponding integral function defined by A(x) = g(1) dt. 3+ 6 MA -10 3+ Mat 3 5 Figure 5.3: At left, the graph of y= g(1); at right, axes for plotting y= A(x), where A is defined by the formula A(x) = g(t) dt. (a) On what interval(s) is A an increasing function? On what intervals is A decreasing? Why? (b) On what interval(s) do you think A is concave up? concave down? Why? (c) At what point(s) does A have a relative or local minimum? a relative or local maximum?