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How does a function differ from an equation?
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.
How many zeros can you have in an algebraic function?
For an algebraic function in one variable, as many as the highest power of the 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.
A function takes in values of variable called inputs and gives back values of the variable called outputs?
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.
How do you determine if a function is linear?
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.
What is production function with one variable input?
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 .
Describe the production function with one variable input and explain the relationship between TPMP and AP curves and the three stages of production?
there are three stages of production mp>ap
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 scientific definition of function?
In scientific terms, a function is a relationship or mapping between input values (independent variable) and output values (dependent variable), where each input value is uniquely associated with one output value. Functions are fundamental in mathematics and are used to describe how one quantity depends on another.
How does a function differ from an equation?
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.
Can a function have more than one output per one input?
No. A function has only one output per input.
In a function can an input have more than one outputs?
No. If an input in a function had more than one output, that would be a mapping, but not a function.
How do we know that the input have one output or more in a function in math?
By definition. If one input has more than one outputs then it is not a function.
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 many zeros can you have in an algebraic function?
For an algebraic function in one variable, as many as the highest power of the 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.
