It is because a function is defined as a relation which cannot be one-to-many.
A. each input value is mapped to a single output value - Apex
Answer this question… each input value is mapped to a single output value. Apex
A line is undefined because all points on the line have the same x-coordinate.
What it looks like: The cartesian coordinate plane is a virtical line (the y axis) running through a horizontal line (the x axis). It forms a cross which divides the grid that it's placed on into four quadrants. The quadrants are labeled 1, 2, 3, and 4, in counter clockwise direction, starting in the upper right corner. The point where the x and y axis meet, (0,0) is called the origin. You can graph points on the line by counting the amount f points in the first number of the coordinate (x) on the x axis, and then the second on the y. for example the coordinate (1,2) would be one space to the right and two up. Here's a URL for a picture of it.http://miniurl.com/6307What it's used for: You use the coordinate plane to graph points, line (a collection of consxutive points), or a functions (an eqaution leading to a set of points or a set of points both of which don't have the same x coordinate [basically, if you run a vertical line through whatever shape or collection of points you have, and it doesn't touch any two points at the same time, it's a function.])
X-Y Coordinates Origin Quadrants Points The proper answer is a QUADRANT. The others are objects that may be found on a coordinate plane. Points are listed but not lines (why not?).
Yes. In real data there usually are non-integer data points. When learning about lines and points we try to use simple points.
Answer this question… each input value is mapped to a single output value. Apex
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.
That is simply a result of the definition of a function. A function is a mapping such that for each value of x there is only one value of y.
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.
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.
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.
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).
the coordinate plane is a map of points
If the reference points are not correct, the location of any coordinate will be incorrect.
A line is undefined because all points on the line have the same x-coordinate.
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
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)