The average rate of change over the interval [2,4] can be calculated by subtracting the initial value from the final value and then dividing by the change in x.
f(4) = -4
f(2) = 8
(-4 - 8) / (4 - 2) = -12 / 2 = -6
Therefore, the average rate of change over the interval [2,4] is -6.
Calculate the average rate of change over the interval [2,4] given the function table for f(x)=−x2+12.
x f(x)
1 11
2 8
3 3
4 −4(1 point)
Responses
6
6
−2
negative 2
−6
negative 6
2
1 answer
1 answer