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Domain and range algebra

Domain and range algebra-example-1

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Answer:

B. Domain: ​(−∞, 0) ∪ (0, ∞)​

Range: (−∞, 0) ∪ (0, ∞)

Explanation:

We want to find the domain and range of the function.

The domain is the set of all possible x-values that are included in the function, while the range is the set of all possible y-values that are included in the function.

We can see that the x-values can go into infinity except when approaching the line x = 0. Here, the function will never touch x = 0 because that would make the graph undefined. So, we can say that the domain is all real numbers except for x = 0, or ​(−∞, 0) ∪ (0, ∞).

It's the same thing with the y-values. Although it looks like the line is touching the y-axis, or the line y = 0, the graph actually is not - it's just going really close to it. So, the range is again ​(−∞, 0) ∪ (0, ∞).

Therefore the answer will be B.

Hope it helped! :)

User Evgeniy Generalov
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