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What is the output variable of a function?

It is a value in the co-domain [range] of the function.


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.


What is the variable in a function with a value that is subject to choice?

The variable in a function that is subject to choice is typically referred to as the "independent variable." This variable can be manipulated or chosen freely, and its value determines the outcome of the function, which is represented by the dependent variable. In mathematical terms, the independent variable is often denoted as (x), while the dependent variable, which depends on the value of (x), is often denoted as (y).


What is a dependent quantity?

the output of a function; a variable whose value depends on the value of the input.


A function is a rule that assigns each value of the independent variable to exactly value of the dependent variable?

false


When can we say that a function is a relation?

When it doesn't fulfill the requirements of a function. A function must have EXACTLY ONE value of one of the variables (the "dependent variable") for every value of the other variable or variables (the "independent variable").


When can we say that a relation is a function?

When it doesn't fulfill the requirements of a function. A function must have EXACTLY ONE value of one of the variables (the "dependent variable") for every value of the other variable or variables (the "independent variable").


How do you know whether a relation is a function?

Use the definition of a function. If, for any value of one variable, there is only a single possible value of the second variable, then the second variable is a function of the first variable. The second variable is often called the "dependent variable". If you can solve an equation explicitly for the dependent variable, then it is a function. If you can NOT solve it for a variable, it may or may not be a function - it turns out that some equations are hard or impossible to solve explicitly for one of the variables.


What rule assigns each value of the independent variable to exactly one value of the dependent variable?

It is any invertible function.


What is independent a dependent variables?

The independent variable is the variable that is altered by the scientist, and the dependent variable's value is dependent on the value of the independent variable.


What is the output of a function a variable whose value depends on the input or independent variable?

the output variable is called the dependent variable. For example the function y = f(x) = 3x here x is independent and y is dependent; y changes when you change x


A is a rule that assigns each value of the independent variable to exactly one value of the dependent variable?

This will be a math function. Each choice is only going to have one answer in this kind of function.

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