2 LIMITS

The following are graphs of y = f (x) and y = g (x):GROUP WORK 2, SECTION 2.5TheAreaFunctionyyfg220 2x0 2x{ 2x + 1 if x ≤ 1f (x) = |x + 1|g (x) =−x + 5 if1 > x1. Let A (r) be the area enclosed by the x-axis, the y-axis, the graph of the function f , and the line x = r.Would you conjecture that A (r) is continuous at every point in the domain of f ? Why or why not?2. Let B (r) be the area enclosed by the x-axis, the y-axis, the graph of the function g, and the line x = r.Would you conjecture that B (r) is continuous at every point in the domain of g? Why or why not?76