Given: f = {(0, 1), (2, 4), (4, 6), (6, 8)} and g = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)} (f - g) (6) =

The value of (F-G)(6) is -1.

Step-by-step explanation:

The given functions are defined as

We need to find the value of (F-G)(6).

Using subtraction of two function property, we get

          .... (1)

From the given functions it is cleared that the value of function F is 8 at x=6 and the value of function G is 9 at x=6. It means

Substitute F(6)=8 and G(6)=9 in equation (1).

Therefore the value of (F-G)(6) is -1.

  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.

so the change in y-value for function f is (6 )) = 9.

the table tells us

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).

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step-by-step explanation: