The domain of a function refers to the set of all possible input values (x-values) for which the function is defined. On a graph, the domain is represented along the x-axis, indicating the range of x-values for which the corresponding y-values (outputs) exist. Any gaps or restrictions in the domain, such as undefined points or vertical asymptotes, are visually evident in the graph, where certain x-values do not produce valid outputs. Understanding the domain helps to accurately interpret the behavior and limitations of the function represented in the graph.
To determine the domain of a function from its graph, examine the horizontal extent of the graph. Identify all the x-values for which there are corresponding y-values. If there are any breaks, holes, or vertical asymptotes in the graph, those x-values are excluded from the domain. The domain can then be expressed in interval notation, indicating any restrictions found.
there is no graph... but most chance it's all real numbers
If a vertical line, within the domain of the function, intersects the graph in more than one points, it is not a function.
It means that the function is not defined for a part of the domain.
The graph is a region of the space on one side or another of the related function. If the inequality is strict then the related function itself is not part of the solution; otherwise it is.
points
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money
mad
point
The practical domain is the domain by simply looking at the function. Whereas the mathematical domain is the domain based on the graph.
mad
Graph each "piece" of the function separately, on the given domain.
there is no graph... but most chance it's all real numbers
A function must have a value for any given domain. For each edge (or interval), the sign graph has a sign (+ or -) . So, it is a function.
If a vertical line, within the domain of the function, intersects the graph in more than one points, it is not a function.
If a vertical line, within the domain of the function, intersects the graph in more than one points, it is not a function.