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saveliy_v [14]
3 years ago
12

What is the domain of the function represented by the following graph?

Mathematics
1 answer:
Svetllana [295]3 years ago
6 0

Hello!

The domain of the function are the x-values that make the function true.

Since the graph has open circles and filled in circles, the open circles make the function false (written as <) , and the filled in circles make it true (written as ≤).

From the graph, the x value -3, and 2 are open circles. While the value -0.5 are filled in circles. Also, from the interval (-0.5, 2), there is gap, so it is part of the domain.

Therefore, the domain of the function is: {x | -3 < x ≤ -0.5} ∪ {x | 2 < x < ∞}, which is the third choice.

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