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What statement defines a function?
A function is a relation that assigns exactly one output for each input from a specified set, known as the domain. This means that for every element in the domain, there is a corresponding element in the codomain, ensuring that no input is mapped to more than one output. In mathematical terms, a function can be expressed as ( f: X \rightarrow Y ), where ( f ) is the function, ( X ) is the domain, and ( Y ) is the codomain.
What is the phase relationship between the input and output signals of the common collector amplifier?
Common emitter is the only transistor configuration that has an 180 degree phase difference between input and output. Common base and common collector outputs are in phase with the input.***********************************That is incorrect.The output of the common emitter is inverted, there is no phase shift.
What is function of 89s52 microcontroller?
The 89S52 has four different ports. Each one of the ports has eight input/output lines. The ports are used to output data.
What is the relationship between energy input energy output and energy losses whenever transfer of energy takes place?
Energy input = energy output + losses. Both energy output and losses are usually positive (they might also be zero in some specific cases), meaning that (usually) each of them individually is less than the energy input.
A function is a rule that assigns each value of the variable to exactly one value of the dependent variable?
I found two answers for this question. A function is a rule that assigns to each value of one variable (called the independent variable) exactly one value of another variable (called the dependent variable.) A function is a rule that assigns to each input value a unique output value.
Is every relation a function?
No, not every relation is a function. In order for a relation to be a function, each input value must map to exactly one output value. If any input value maps to multiple output values, the relation is not a function.
What is a relation with the property that for each input there is exactly one output?
That's a proper function, a conformal mapping, etc.
What is an input-output relationship that has exactly one output for each input?
function
A relation in which each element of the input is paired with exactly the one element of the output according to a specific rule?
Is called "function".
What is the term for a relation in which each input value corresponds to exactly one output value?
A one-to-one or injective function.
A mapping diagram can represent a function but not a relation.?
This statement is incorrect. A mapping diagram can represent both functions and relations. A relation is any set of ordered pairs, while a function is a specific type of relation where each input (or domain element) is associated with exactly one output (or range element). In a mapping diagram, if each input has a single output, it represents a function; if an input has multiple outputs, it represents a relation that is not a function.
how is a relation not a function?
A relation is not a function if it assigns the same input value to multiple output values. In other words, for a relation to be a function, each input must have exactly one output. If an input corresponds to two or more different outputs, the relation fails the vertical line test, indicating that it is not a function. For example, the relation {(1, 2), (1, 3)} is not a function because the input '1' is linked to both '2' and '3'.
True or false a function is a relation that assigns each input exactly one output?
This is true. Furthermore, functions can be broken down into one-to-one (each input provides a different output), and onto (all of Y is used when f(x) = y).
What is an example of a relation that is not a function?
An example of a relation that is not a function is the relation defined by the set of points {(1, 2), (1, 3), (2, 4), (3, 5)}. In this relation, the input value 1 corresponds to two different output values (2 and 3), violating the definition of a function, which states that each input must have exactly one output. Therefore, since one input maps to multiple outputs, this relation is not a function.
Is ordered pairs a relation or function?
An ordered pair can represent either a relation or a function, depending on its properties. A relation is simply a set of ordered pairs, while a function is a specific type of relation where each input (first element of the pair) is associated with exactly one output (second element of the pair). If an ordered pair is part of a set where each input corresponds to only one output, it defines a function. Otherwise, it is just a relation.
What is an input or output relation that has exactly one output for each input?
A one-to-one function, a.k.a. an injective function.
What term means for each input their is exactly one output?
function
