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dmitriy555 [2]
3 years ago
6

The function f(x) is represented by this table of values .Match average rate of change of f(x) with corresponding intervals

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
3 0
Note:
If fx(x) changes from f(x₁) to f(x₂), the rate of change is
Rate = [f(x₂) - f(x₁)]/(x₂ - x₁)

From the table, we can compute rates of change as follows:
Change in x  Change in f(x)   Change in x    Rate
-----------------   --------------------   -----------------  ---------
    [-4,-2]          0 - (-12) = 12      0 - (-2) = 2        6
    [-2, 1]           3 - 0 = 3            1 - (-2) = 3         1
    [-3, 1]           3 - (-5) = 8         1 - (-3) = 4         2
    [-4, 0]          4 - (-12) = 16      0 - (-4) = 4        4


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Now to find the area! If we combine the two semicircles, we get a circle with a diameter of four. This means that is has a radius of two. We use the equation below to find the area of the two circles.

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