The average rate of change is -12/5 for the interval [-2, 3] which is the negative average rate of change option (B) is correct.
What is the rate of change?
It is defined as the change in values of a dependent variable with respect to the independent variables.
It is given that:
A function g(x) is shown in the table.
As we know the average rate of change of a function can be given:
The average rate of change = change in y values/change in x values
For the interval [1, 5]
The average rate of change = (2-0)/(5-1) = 2/4 = 1/2
For the interval [-2, 3]
The average rate of change = (-5-7)/(3+2) = -12/5
For the interval [-5, 0]
The average rate of change = (3-0)/(0+5) = 3/5
For the interval [-4, -1]
The average rate of change = (5-2)/(-1+4) = 3/3 = 1
Thus, the average rate of change is -12/5 for the interval [-2, 3] which is the negative average rate of change option (B) is correct.
Learn more about the rate of change here:
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