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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
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.
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
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. :)
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
