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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.
A set of input and output values where each input value has one or more output values is called a(n)?
A set of input and output values where each input value has one or more corresponding output values is called a "relation." In mathematical terms, it describes how each element from a set of inputs (domain) relates to elements in a set of outputs (codomain). Unlike a function, where each input has exactly one output, a relation can have multiple outputs for a single input.
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 the relationship that assigns exactly one output for each input value called?
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.
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).
In a relation the input is the number of people and the output is the number of phones. Is this relation a function Why or why not?
Yes, this relation is a function because each input (number of people) corresponds to exactly one output (number of phones). In other words, for every specific number of people, there is a unique number of phones associated with that quantity, ensuring that no input has multiple outputs. This satisfies the definition of a function.
Does the relation represent a function?
To determine if a relation represents a function, each input (or x-value) must correspond to exactly one output (or y-value). If any input is paired with more than one output, then the relation is not a function. You can visualize this using the vertical line test: if a vertical line intersects the graph of the relation more than once, it is not a function.
