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For the graph of g(x) pictured below, over which of the following intervals is g(x) only decreasing?

For the graph of g(x) pictured below, over which of the following intervals is g(x-example-1

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Answer:

2. -8 < x < -2

Explanation:

The x-values of the line where the line slants downwards before it begins to slant upwards to the right, is the interval at which g(x) is decreasing only.

From the graph, at x = -8, y = -2. When x = -2, y = -5.

Between the intervals of x = -8 and x = -2, g(x) decreased from -2 to -5.

Therefore, the answer is: 2. -8 < x < -2

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