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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?
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.
What else can I help you with?
Is the horizontal axis on a coordinate graph is called the x-axis?
Yes, the horizontal axis on a coordinate graph is called the x-axis. It typically represents the independent variable, while the vertical axis, known as the y-axis, represents the dependent variable. Together, these axes form a Cartesian coordinate system that helps in plotting points and analyzing relationships between variables.
Is a horizontal graph a function?
yes
How do you graph and connect ordered pairs?
To graph and connect ordered pairs, start by plotting each pair on a coordinate plane, where the first number represents the x-coordinate (horizontal axis) and the second number represents the y-coordinate (vertical axis). Once all points are plotted, use a ruler or straightedge to draw lines between consecutive points. If the pairs are meant to represent a function or a specific relationship, ensure the lines reflect that continuity. Finally, label the axes for clarity and ensure the points are distinguishable.
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.
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. :)
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
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.
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
