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That's how "function" is defined. If you have two points with the same x-coordinates, you have a "relation", but not a "function". A function is a special type of relation.

The idea of a function is that, for every value of the independent variable (for example, "x"), the dependent variable (for example, "y") is uniquely defined. In other words, you can consider a function as a rule that assigns a y-value uniquely to every x-value.

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Q: Why doesnt the graph of a function have two different points with the same x coordinate?
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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.


How do graphs help you understand functions?

Typically, functions are graphed on x-y coordinates. A function of x means that for every x point, there must be a single y point. You can also many properties by graphing a function, such as the minimum and maximum points, slopes and inflection points, and the inverse of the function (y values plotted on x coordinate, and x values on y coordinate).


How do you map a coordinate plane?

the coordinate plane is a map of points


Why do come function graphs have just points and some have a line connected?

Most functions are continuous (connected line), and not just two points... 2 points are simply just coordinates on a graph, and would be very hard (perhaps impossible) to make into a function (unless you have a restricted domain) I may be wrong, but I don't think I am A function has to be a graph that can be expressed through an equation, and only has a max of one y coordinate for each x coordinate, although it may have zero


How do you calculate cartesian coordinate system?

cartesian coordinate isn't a system. the graphs you put on the cartesian coordinate plane can be systems. these graphs can be anything you want them to be. and they are calculate different every time. the thing to remember about cartesian coordinate planes is the you plot the points of (x,y)

Related questions

Why the graph of a function never has 2 different points with the same x- coordinate because?

It is because a function is defined as a relation which cannot be one-to-many.


The graph of a function never has two different points with the same x-coordinate because?

Answer this question… each input value is mapped to a single output value. Apex


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.


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.


If a domain repeatable in function then this is not afuntion and if the range repeat then this is a function why?

Because, if the Domain(x-values) repeats, when graphed on a coordinate plane, there will be multiple dots in a vertical line. If you were to conduct the Vertical Line Test, and there are two points in one straight vertical line, this would not be a function. If the Range(y-values) repeats, this would be a function, because if the Domain is different, then there will be no points plotted in the same line.


How do graphs help you understand functions?

Typically, functions are graphed on x-y coordinates. A function of x means that for every x point, there must be a single y point. You can also many properties by graphing a function, such as the minimum and maximum points, slopes and inflection points, and the inverse of the function (y values plotted on x coordinate, and x values on y coordinate).


How important are the reference points in a coordinate system?

If the reference points are not correct, the location of any coordinate will be incorrect.


How do you map a coordinate plane?

the coordinate plane is a map of points


Why do come function graphs have just points and some have a line connected?

Most functions are continuous (connected line), and not just two points... 2 points are simply just coordinates on a graph, and would be very hard (perhaps impossible) to make into a function (unless you have a restricted domain) I may be wrong, but I don't think I am A function has to be a graph that can be expressed through an equation, and only has a max of one y coordinate for each x coordinate, although it may have zero


How do you calculate cartesian coordinate system?

cartesian coordinate isn't a system. the graphs you put on the cartesian coordinate plane can be systems. these graphs can be anything you want them to be. and they are calculate different every time. the thing to remember about cartesian coordinate planes is the you plot the points of (x,y)


What is the common term for the set of all points with coordinate zero?

Y-axis is the set of all points with x coordinate zero.


What points are on the line given by the equation y equals 2x?

All points whose y-coordinate is twice its x-coordinate.