Answer:
a) -1.611
b) 0.513
Explanation:
For function f(x), the average rate of change from point (a, f(a)) to (b, f(b)) is:
average rate of change = [f(b) - f(a)]/(b - a)
Look at function f(x).
For x = 2.2, f(x) = f(2.2) = 2.9 (read the y value off the graph)
For x = 4, f(x) = f(4) = 0 (read the y-value off the graph)
average rate of change = [f(b) - f(a)]/(b - a) =
= (0 - 2.9)/(4 - 2.2)
= -2.9/1.8
= -1.611
Look at function g(x).
For x = 2.2, g(x) = f(2.2) = 2.9 (read the y value off the graph)
For x = 6.1, f(x) = f(6.1) = 4.9 (read the y-value off the graph)
average rate of change = [f(b) - f(a)]/(b - a) =
= (4.9 - 2.9)/(6.1 - 2.2)
= 2/3.9
= 0.513