What is the average rate of change of f(x), represented by the table of values, over the interval [-3, 2]?
x | f(x)
-5 -150
-3 -36
-1 -2
0 0
1 0
2 4

a) -40
b) -8
c) 8
d)32

Option c) 8 is the answer.

Step-by-step explanation:

Given table is

x         -5      -3       -1       0        1        2

f(x)    -150   -36      -2      0        0       4

We have to find the rate of change of f(x) over the period of x  [-3, 2]

Since rate of change of x =

Now we have been given

and

Similarly

Now rate of change of f(x) will be =

Option C is the answer.

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step-by-step explanation:

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