Question

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.

Answer 1

1,3,5 would be right i did this same exact question like 2 minutes ago

Answer 2

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.

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