The average rate of change of the function from x = 0 to x = 2 is -2
From the complete question (see attachment), we have the following ordered pair when x = 0 and x = 2
[tex](x,y) = \{(0,10)\ (2,6)\}[/tex]
The average rate of change is calculated using:
[tex]\Delta x = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]\Delta x = \frac{6-10}{2-0}[/tex]
Evaluate common terms
[tex]\Delta x = \frac{-4}{2}[/tex]
Divide -4 by 2
[tex]\Delta x = -2[/tex]
Hence, the average rate of change of the function from x = 0 to x = 2 is -2
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