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35 votes
Find the average rate of change of g(x)= -3x² -1 between the points (-3, -28) and (3, -28)

User Mador
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1 Answer

13 votes
13 votes

The average rate of change of a function between points (a, b) and (c, d) on the graph of the function is given by:

rate of change = (d - b)/(c - a)

For this problem, we have the function g(x) = -3x² - 1, and we want to find the average rate of change between two points on the graph of the function, which are:

(-3, -28) and (3, -28)

Notice that both points belong indeed to the graph of g(x) since

-3(±3)² - 1 = -3 * 9 - 1 = -27 - 1 = 28

So, to find the average rate of change between those points, we can use the above definition with

a = -3

b = -28

c = 3

d = -28

Then, the average rate of change is given by:

rate of change = [-28 - (-28)]/[3 - (-3)] = (-28 + 28)/(3 +3) = 0

Therefore, the average rate of change is 0.

User William Gunn
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