Q: What is the production function with one variable input?

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A function is a rule to calculate a variable, based on one or more other variables. It may be written as an equation, but unlike a generic equation, in a function, for every value of the input variables, it may ONLY have ONE result.

For an algebraic function in one variable, as many as the highest power of the variable.

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.

No. A function takes in values of no, one, or more input variables, and returns no or one result. It cannot return more than one result. Do not confuse this with returning multiple results using call by reference parameters - this is not the same thing.

A function is linear if it is of the form f(x) = mx + c where m and c are constants and a is not zero.The function implies that an increase of one unit in the input variable, x, always results in an increase of m units in the output.

Related questions

The production function for a firm is the relationship between the quantities of inputs per time period and the maximum output that can be produced. It can be calculated for one or more than one variable factors of production. The one variable factor of production function corresponds to the short-run during which at least one factor of production is fixed .

there are three stages of production mp>ap

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.

A function is a rule to calculate a variable, based on one or more other variables. It may be written as an equation, but unlike a generic equation, in a function, for every value of the input variables, it may ONLY have ONE result.

No. A function has only one output per input.

No. If an input in a function had more than one output, that would be a mapping, but not a function.

By definition. If one input has more than one outputs then it is not 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").

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").

For an algebraic function in one variable, as many as the highest power of the variable.

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.

if at-least one factor of production is constant, production function is infact short-run production function