The table represents f(x), and the graph represents g(x). which statements about the functions are true for the interval [4, 10]? x f(x) 3 1.33 4 1 5 0.8 6 0.66 10 0.4 select all that apply 1- the average rate of change of f(x) is greater than the average rate of change of g(x). 2- the average rate of change of f(x) is less than the average rate of change of g(x). 3- both functions have the same average rate of change. 4- the average rate of change of f(x) is 0.1, and the average rate of change of g(x) is 0.25. 5- the average rate of change of f(x) is -0.1, and the average rate of change of g(x) is -0.25.

1- The average rate of change of f(x) is greater than the average rate of change of g(x).

5- The average rate of change of f(x) is -0.1, and the average rate of change of g(x) is -0.25.

Step-by-step explanation:

average rate of change of a function h(x) in the interval [a, b] is computed as follows:

average rate of change = h(b) - h(a)/(b - a)

So, for f(x) (see table):

average rate of change = f(10) - f(4)/(10 - 4) = (0.4 - 1)/(10 - 4) = -0.1

And for g(x) (see figure):

average rate of change = g(10) - g(4)/(10 - 4) = (1 - 2.5)/(10 - 4) = -0.25

answer: the answer is 35%

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