there is no graph...
but most chance it's all real numbers
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.
A graph that shows a function with a domain of all real numbers less than -2 would display its values only for x-coordinates to the left of -2 on the x-axis. The graph should not include any points or lines that extend to the right of -2. Typically, this would be represented with an open circle at -2 to indicate that it is not included in the domain, while the rest of the graph would extend leftward indefinitely.
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 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.
points
point
Reciprocal parent function
money
mad
point
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.
A graph that shows a function with a domain of all real numbers less than -2 would display its values only for x-coordinates to the left of -2 on the x-axis. The graph should not include any points or lines that extend to the right of -2. Typically, this would be represented with an open circle at -2 to indicate that it is not included in the domain, while the rest of the graph would extend leftward indefinitely.
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.