Neither, as a graph can be read from either axis to get a value on the other axis.
However, the x coordinate is usually considered the independent variable as an equation is usually written as y = f(x), so it could be considered the input.
However, from y = f(x), it can often be re-arranged to get x = f-1(y) which would make x the output! eg:
y = 2x + 4
→ 2x + 4 = y
→ 2x = y - 4
→ x = 1/2 y - 2
Input is the first coordinate of an ordered pair in relationand Output is the second coordinate of an ordered pair in relation
Neither, as a graph can be read from either axis to get a value on the other axis. However, the y coordinate is usually considered the dependent variable as an equation is usually written as y = f(x), so it could be considered the output.
The graph of a function cannot have two different points with the same x-coordinate because it would violate the definition of a function, which states that each input (x-coordinate) must correspond to exactly one output (y-coordinate). If a single x-coordinate were to map to two different y-values, it would not be a function, as there would be ambiguity in the output for that input. This unique pairing ensures that every element in the domain is associated with one and only one element in the range.
The first coordinates in a set of ordered pairs of a relation or function are referred to as the "domain." Each unique first coordinate represents an input value for the function, which can be associated with one or more corresponding second coordinates (output values). In the context of a function, each input must map to exactly one output, ensuring that no input is repeated with different outputs.
1
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.
The relationship that assigns exactly one output for each input value is called a "function." In mathematical terms, for a relation to be classified as a function, every input from the domain must correspond to exactly one output in the codomain. This ensures that there are no ambiguities regarding the output for any given input. Functions are often represented as f(x), where x is the input.
A special relationship where each input has a single output is known as a function in mathematics. In this context, each element from the domain (input) is paired with exactly one element in the codomain (output), ensuring a unique output for every input. This property distinguishes functions from other types of relationships, where an input might correspond to multiple outputs. Functions are commonly represented using equations, graphs, or tables.
A non-function refers to a relation in which a single input can correspond to multiple outputs. In mathematical terms, a function is defined as a set of ordered pairs where each input (or domain element) is associated with exactly one output (or range element). If an input is linked to more than one output, the relation fails to meet the criteria of a function, making it a non-function. Examples include vertical lines on a graph, which violate the vertical line test for functions.
A relation in which no two ordered pairs have the same first coordinate (same X value) is known as a function. In this context, each input (X value) is associated with exactly one output (Y value), ensuring that every X is unique. This property allows functions to have a clear mapping from each element in the domain to a single element in the range.
is an omr and input or output device?
both input r output