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

A. All real numbers
B. Positive real numbers
C. Negative real numbers
D. Non-negative real numbers

1 Answer

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Final answer:

The domain of a function refers to all the possible 'x' values that a function can accept. The details about the graph, such as whether it's a straight or horizontal line and its positive or negative nature, help determine the domain. For horizontal lines at a given value, the domain is all real numbers unless specified otherwise by a restriction such as 0 ≤ x ≤ 20.

Step-by-step explanation:

The domain of a function represents all the possible values of x that can be input into the function. When analyzing the options provided for the domain, we can refer to details from the question such as whether the graph is a straight or horizontal line and if it reflects positive or negative values.

For instance, if the graph is a horizontal line at some positive value, this indicates that the value of the function (f(x)) is constant for all inputs of x, meaning that the domain is all real numbers since it can take any real value of x. On the other hand, if the question describes a function f(x) that is defined from 0 ≤ x ≤ 20, then the domain is restricted and it would be considered non-negative real numbers because x can only take values from 0 to 20, including 0 which is non-negative.

In the context of Two-Dimensional (x-y) Graphing, if the student provides a graph or additional context, an accurate domain can be determined. If the graph is a straight line with either a positive or negative slope without any breaks, this suggests the domain is all real numbers because a straight line goes on infinitely in both directions on the x-axis.

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