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What is the set of all possible output values of a function or relation?
The Range is the set of all possible output values of a function or relation.
In the inverse variation function what happens to the output when the function's input is halved?
The output is doubled.
In the inverse variation function, what happens to the output when the function's input value is divided by 5?
The output is multiplied by 5.
Mechanical advantage can be defined as the ratio of what?
The ratio of output force to input force.
In the inverse variation function what happens to the output when the functions input value is multiplied by 4?
the output is divided by 4
The set of output values of a function or relation?
The set of output values of a function or relation is the range
How do you determine if a relation is a function?
A relation is a function if every input has a distinct output.
What is the difference between function and a relation?
Good question. A relation is simply that; any x-value to create any y-value. A function, however, cannot be defined for multiple values of x. In other words, for a relation to be a function, it must have singular values for all x within its domain.
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.
What is the set of all first coordinates of a relation or function?
The set of all first coordinates of a relation or function is known as the domain. It consists of all the input values for which the relation or function is defined. In the context of a function, these first coordinates correspond to the values that can be mapped to an output in the codomain. Thus, the domain provides information about the permissible inputs for the function or relation.
What is the set of all possible output values of a function or relation?
The Range is the set of all possible output values of a function or relation.
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 The relation is the set of output values for the relation?
A relation doesn't have an "output value", in the sense that a function does. A set of values is either part of the relation, or it isn't.
How do you define function and relation?
A relation has pairs of numbers. A function is a special relation where for each input there is one and only one output.
A relation with exactly one output for each input?
It's a type of function
Why would removing this ordered pair make the relation a function?
Removing the ordered pair would ensure that each input (or "x" value) in the relation corresponds to exactly one output (or "y" value). A function is defined as a relation where no two ordered pairs have the same first component with different second components. Therefore, eliminating the pair that violates this condition would make the relation a valid function.
Why the graph of a function never has 2 different points with the same x- coordinate because?
It is because a function is defined as a relation which cannot be one-to-many.
