b. the average rate of change of f(x) is less than the average rate of change of g(x).
step-by-step explanation:
since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.
f(-2) = -3f(1) = 6 . . . estimated from f(x) = (x+2)^2-3, which matches points on the graph (-1,-2) and (0, 1)
so the change in y-value for function f is (6 )) = 9.
the table tells us
g(-2) = 1g(1) = 31
so the change in y-value for function g is (31 -1) = 30.
the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).
