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

180

step-by-step explanation:

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above