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Q: Can a line be a graph of a function?

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Yes the graph of a function can be a vertical or a horizontal line

A line. The derivative of a function is its slope. If the slope is a constant then the graph is a line.

the graph is called a line

Test it by the vertical line test. That is, if a vertical line passes through the two points of the graph, this graph is not the graph of a function.

The vertical line test can be used to determine if a graph is a function. If two points in a graph are connected with the help of a vertical line, it is not a function. If it cannot be connected, it is a function.

Vertical line. If you can draw a vertical line through some part of a graph and it will intersect with the graph twice, the graph isn't a function.

Yes the graph of a function can be a vertical or a horizontal line

This graph fails the vertical line test at x = 3This graph is not the graph of a function.

A graph is a function if any vertical line intersects it at most once.

The vertical line test can be used to determine if a graph is a function. If two points in a graph are connected with the help of a vertical line, it is not a function. If it cannot be connected, it is a function.

Draw a graph of a given curve in the xoy plane. Now draw a vertical line so that it cuts the graph. If the vertical line cuts the graph in more than one ordinate then given graph is not a function. If it cuts the graph at a single ordinate such a graph is a function.(is called vertical line test)

linear function

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