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What are the domain and range of the graph?

a) The domain is -2 ≤ x < 1, and the range is y.
b) The domain is -4 ≤ x < 2, and the range is -2 ≤ y < 1.
c) The domain is x, and the range is y.
d) The domain is -4 < x ≤ 2, and the range is -2 < y ≤ 1.

User Cerkiewny
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1 Answer

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Final answer:

The domain of a function is the set of all possible x-values, and the range is the set of all possible y-values. A horizontal line has a constant y-value, but the y-value isn't provided. Therefore, we cannot determine the range without more information.

Step-by-step explanation:

Understanding the domain and range of a function is essential in mathematics. The domain is the set of all possible input values (x-values) for which the function is defined, while the range is the set of all possible output values (y-values) that the function can produce.

Given the description of the graph of a function f(x) being a horizontal line that exists between x = 0 and x = 20, inclusive, we can determine the domain and range. Since the line is horizontal, this means that the y-value remains constant for all x-values within the domain. Thus, we need to identify the constant y-value. However, since this information isn’t provided in the question, we're unable to answer without making assumptions.

User Jan Wikholm
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