Compare the two functions below:
Function 1:
(3, 0)
(4, 1)
(5, 4)
(6, 9)
Function 2:
x 2 4 5 6
y -6 -5 -4 -3
1. What is the average rate of change for function 1 in the interval of [4, 6]?
2. What is the average rate of change for function 2 in the interval of [4, 6]?
3. Which function has the greater rate od change in the interval of [4, 6]?
a. 1
b. 2
c. 3
d. 4
e. 5
f. 1/4
g. 1/2
h. Function 1
i. Function 2
1. The average rate of change for function 1 in the interval of [4, 6] is (9-1)/(6-4) = 4.
2. The average rate of change for function 2 in the interval of [4, 6] is (-3+5)/(6-4) = 1.
3. Function 1 has the greater rate of change in the interval of [4, 6].
Therefore, the answers are:
1. f. 1/4
2. g. 1/2
3. h. Function 1