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Of course not.

The graph of [ f(x) = 4 ] is the straight line [ Y = 4 ] . . . a perfectly good function with all of its points on the same horizontal line.

The graph of [ f(x) = x2 ] is the parabola with its nose at the origin and opening upwards. Another perfectly good function which has two points on every horizontal line [ Y = K ].

In fact, I think probably every f(x) that has 'x to some power' in it always has at least two points on the same horizontal line.

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Q: Is a set of points in a coordinate plane the graph of a function if and only if no two points on the graph lie on the same horizontal line?
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Is a horizontal graph a function?

yes


Why do you use coordinate plane?

To graph points on a graph, typically for Algebra or Geometry. :)


How do you graph functions?

Suppose a function takes values of a variable, X, as its input, and that it converts it into an output value Y.Then the graph of the function, in the X-Y coordinate plane, is the set of all points (x, y) such that when you input the value x into the function, the output is y.Suppose a function takes values of a variable, X, as its input, and that it converts it into an output value Y.Then the graph of the function, in the X-Y coordinate plane, is the set of all points (x, y) such that when you input the value x into the function, the output is y.Suppose a function takes values of a variable, X, as its input, and that it converts it into an output value Y.Then the graph of the function, in the X-Y coordinate plane, is the set of all points (x, y) such that when you input the value x into the function, the output is y.Suppose a function takes values of a variable, X, as its input, and that it converts it into an output value Y.Then the graph of the function, in the X-Y coordinate plane, is the set of all points (x, y) such that when you input the value x into the function, the output is y.


Why do you connect points on a coordinate graph?

If the variables are something continuous, then you should connect the points. For example, if it is your height and weight then since those variables are continuous it is necessary to connect the points plotted on the coordinate graph.


Can the graph of a function be a horizontal line?

yeah

Related questions

How do you draw a graph of a relation that is not a function?

A graph that is not a function, fails the vertical line test. You can draw it by connected all ordered pair of points in a rectangular coordinate system.


What is the x- coordinate?

the x coordinate is whatever number on the horizontal line of your graph that you choose


On a two coordinate graph which axis is x?

the horizontal axis


Can a line be a graph of a function?

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


Can a line be the graph of a function?

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


Is a horizontal graph a function?

yes


Why do you use coordinate plane?

To graph points on a graph, typically for Algebra or Geometry. :)


How do you graph functions?

Suppose a function takes values of a variable, X, as its input, and that it converts it into an output value Y.Then the graph of the function, in the X-Y coordinate plane, is the set of all points (x, y) such that when you input the value x into the function, the output is y.Suppose a function takes values of a variable, X, as its input, and that it converts it into an output value Y.Then the graph of the function, in the X-Y coordinate plane, is the set of all points (x, y) such that when you input the value x into the function, the output is y.Suppose a function takes values of a variable, X, as its input, and that it converts it into an output value Y.Then the graph of the function, in the X-Y coordinate plane, is the set of all points (x, y) such that when you input the value x into the function, the output is y.Suppose a function takes values of a variable, X, as its input, and that it converts it into an output value Y.Then the graph of the function, in the X-Y coordinate plane, is the set of all points (x, y) such that when you input the value x into the function, the output is y.


If the parents function is y4x which is the function of the graph?

The function y = x is the graph that passes from the points (-1, -1), (0, 0), and (1, 1) The function y = 4x is the graph that passes form the points (-1, -4), (0, 0), and (1, 4) Sketch these graphs in a same x and y coordinate system, and you can see both of them


Can the graph of a function be a horizontal line?

yeah


Why do you connect points on a coordinate graph?

If the variables are something continuous, then you should connect the points. For example, if it is your height and weight then since those variables are continuous it is necessary to connect the points plotted on the coordinate graph.


What does the math term graph mean?

it means that you are plotting the points on a graph, or XY coordinate plane