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  3. The ordered pairs of relation B have unique 𝑥-values, so relation B represents a function. We can represent ordered pairs using a mapping diagram, or relation diagram. These diagrams consist of parallel columns which individually represent the input of the function and the output of the function.

  4. 5 days ago · Function. A relation is a set of ordered pairs, where each pair consists of two elements, establishing a relationship between them. A function is a special type of relation where each input value (domain) is associated with exactly one output value (range). A single input can be related to multiple outputs.

  5. 3 days ago · Formally, a group is an ordered pair of a set and a binary operation on this set that satisfies the group axioms. The set is called the underlying set of the group, and the operation is called the group operation or the group law .

  6. 5 days ago · The corresponding ordered pairs are ( 2, 6) and ( 3, 9). Hence, the ordered pairs are ( 0, 0), ( 1, 3), ( 2, 6), and ( 3, 9). In our previous example, we demonstrated how to represent a relation using a list of ordered pairs. We might also observe that we could have described the relation in words.

  7. 4 days ago · identify whether a set of ordered pairs defines a function, identify functions from relation diagrams, understand how to use the vertical line test to determine whether a relation’s graph represents a function,

  8. 5 days ago · An ordered pair is made up of the two coordinates and is written like this: (x, y). The first number is read in terms of the x-axis and the second number is identified in terms of the y-axis. An example of an ordered pair is (5, 7).

  9. 4 days ago · In Cartesian coordinates, a complex number is denoted by the ordered pair: z = (a, b), with Rz = Rez = a, Iz = Imz = b. z = ( a, b), with ℜ z = Re z = a, ℑ z = Im z = b. It was Leonhard Euler who suggested to use two unit vectors, 1 for the abscissa and i for the ordinate, allowing him to write.

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