Respuesta :
The average rate of change of the function is 10
How to determine the average rate?
The table of values is given as:
x= -1,0,1,2,3
y=1/10, 1/2, 5/2, 25/2, 125/2
The average rate of change is calculated using:
Rate = (y2 - y1)/(x2 - x1)
This gives
Rate = (25/2 - 5/2)/(2 - 1)
Evaluate the expression
Rate = 10
Hence, the average rate of change of the function is 10
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The average rate of change of the function is 10.
What is Average rate?
It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.
Here, given values are:
x= -1,0,1,2,3
y=1/10, 1/2, 5/2, 25/2, 125/2
The average rate of change is calculated using:
Rate = (y₂ - y₁)/(x₂ - x₁)
Rate = (25/2 - 5/2)/(2 - 1)
Rate = 10
Hence, the average rate of change of the function is 10
Learn more about average rate at:
brainly.com/question/8728504
#SPJ1