Q: Why might you show a line gap in the vertical scale in a line graph?

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any points along the line described by the equation x=anything will give you a vertical line on a graph

Yes

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

A vertical line can be used to test whether or not a graph is a function.

y

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by making the graph have an important missing part...(hope it helps!)

linear: LINE example--- line non-linear: not a LINE example--- parabola The other possibility is a graph with a non-linear scale. First a linear scale will have each unit represent the same amount, regardless of where you are on the scale. A semilog scale, has a linear scale in the horizontal direction, and a logarithmic scale in the vertical direction. Exponential functions (such as ex & 10x), will graph as a straight line on this type of graph scale). A logarithmic or log-log scale, has logarithmic scales on both horizontal and vertical axis. Power functions (such as sqrt(x), x2 and x3), graph as a straight line on these scales. See Related Link

On a typical graph, the vertical line is the y-axis, they horizontal line is the x-axis.

you make a line graph and then put a scale on it

Yes. The graph of [ x = 2 ] is a vertical line.

increasing the interval would decreasing the degrees of accuracy of the graph, optically the line seem flatter

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.

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.

The y-axis is the vertical line on a line graph.

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

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