Function f(x) is shown in the table.
What is the average rate of change over the interval 1≤x≤4 ?
A) −3
B) −13
C) 13
D) 3
x f(x)
0 1
1 4
2 7
3 10
4 13
5 16
When x = 1 value is 4
when x = 4 value is 13
rate of change (v1-v2) / (x1 - x4 ) = (4-13) / (1-4) = -9/-3 = 3 per unit of x (Answer D)
When x = 1 value is 4
when x = 4 value is 13
rate of change (v1-v2) / (x1 - x4 ) = (4-13) / (1-4) = -9/-3 = 3 per unit of x (Answer D)