The average rate of change of g over the interval [-2, 4] is 4
The equation of the function is given as:
g(x) = 4x + 7
Calculate the value of the functions
g(-2) and g(4)
So, we have:
g(-2) = 4 * -2 + 7 = -1
g(4) = 4 * 4 + 7 = 23
The average rate of change of g over the interval [-2, 4] is then calculated as:
Rate = g(4) - g(-2)/4 - 2
This gives
Rate = (23 + 1)/(4 + 2)
Evaluate
Rate = 4
Hence, the average rate of change of g over the interval [-2, 4] is 4
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Complete question
g(x) = 4x + 7
What is the average rate of change of g over the interval [-2, 4]?
