In a function, the domain is defined as which of the following?

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Multiple Choice

In a function, the domain is defined as which of the following?

Explanation:
The domain is the set of input values you can plug into the function so that the output is a real number. In other words, it’s all the x-values for which f(x) is defined. Some functions have restricted domains due to square roots (x must be nonnegative inside a radical), denominators (x cannot be zero), or other rules. For example, f(x) = sqrt(x) has a domain of x ≥ 0, while f(x) = 1/x has a domain of all real numbers except x = 0. The other ideas relate to different aspects: the range is all possible outputs y, x-intercepts are where the graph crosses the x-axis, and the domain generally does not have to equal the range.

The domain is the set of input values you can plug into the function so that the output is a real number. In other words, it’s all the x-values for which f(x) is defined. Some functions have restricted domains due to square roots (x must be nonnegative inside a radical), denominators (x cannot be zero), or other rules. For example, f(x) = sqrt(x) has a domain of x ≥ 0, while f(x) = 1/x has a domain of all real numbers except x = 0. The other ideas relate to different aspects: the range is all possible outputs y, x-intercepts are where the graph crosses the x-axis, and the domain generally does not have to equal the range.

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