Use the graph below for this question:
graph of parabola going through negative 1, 5 and negative 2, 7.
What is the average rate of change from x = −1 to x = −2?
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Imagine what happens if you go from x = -1 to x = -2:
At x = -1 you are at height 5, at x = -2 you are at height 7.
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True, and because you move only one unit (to the left) the average rate of change would also be 2.
But: rate of change is measured going from left to right. The question should have been (imo) what is the average rate of change between x=-2 to x=-1.
It is -2.
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If you like to use a formula: avg rate of change = delta y / delta x,