# Relationship between two quantities called the input and output

### What Is the Input & Output in Math? | Sciencing

A statement formed when an equal sign is placed between two expressions establishes a relationship between two quantities, called the input output. for each. represent the relationship between two variable quantities as they Related Words: dependent, input, output. Definition: the value of another variable, called. An equation is a mathematical way of looking at the relationship between If there are only two terms in the polynomial, the polynomial is called a binomial. This does not mean that y is the product of two separate quantities, f and x but.

Consider the above example where the amount you choose to spend depends on your salary. Here there are two variables: Independent variables are those which do not depend on other variables. Dependent variables are those which are changed by the independent variables.

The change is caused by the independent variable. In our example salary is the independent variable and the amount you spend is the dependent variable. To continue with the same example what if the amount you choose to spend depends not only on your salary but also on the income you receive from investments in the stock market.

Now there are three variables: A function is a mathematical relationship in which the values of a single dependent variable are determined by the values of one or more independent variables.

Function means the dependent variable is determined by the independent variable s. A goal of economic analysis is to determine the independent variable s which explain certain dependent variables.

For example what explains changes in employment, in consumer spending, in business investment etc.? Functions with a single independent variable are called univariate functions.

There is a one to one correspondence. Functions with more than one independent variable are called multivariate functions.

The independent variable is often designated by x. The dependent variable is often designated by y. We say y is a function of x. This means y depends on or is determined by x.

## Variables, Functions and Equations

If we know the value of x, then we can find the value of y. In pronunciation we say " y is f of x.

In other words the parenthesis does not mean that f is multiplied by x. It is not necessary to use the letter f. We may look at functions algebraically or graphically. If we use algebra we look at equations.

### What is a relationship between two quantities called input and output

If we use geometry we use graphs. There is one dependent variable, the price of pizza and there are three independent variables, the prices of tomato sauce, cheese, and pizza dough. It says that the quantity of pizza demanded depends on the price of pizza and the number of potential pizza eaters. There is one dependent variable, the quantity of pizza demanded, and there are two independent variables, the price of pizza and the number of potential pizza eaters.

This is a very general form of the consumption function. In order to use it economists must put it into a more precise mathematical form. The use of functional notation: The independent variable, x, can have different values. When x changes y also changes.

Input Output Tables Writing Rules

This means find the value of y when x equals 0. This means find the value of y when x equals 1.

### Function Rules for Input-Output Tables ( Read ) | Algebra | CK Foundation

This means find the value of y when x equals It says that demand depends on price. You can choose the input variables yourself, but the output variables are always determined by the rule established by the function. It's common to express the input variable with the letter x and the output as f xwhich you read "f of x," but you can use any letter or symbol to denote the input variable and the function itself.

You'll also see functions in the form of one variable often y equal to an expression involving another variable x. In such cases, x is the input and y is the output.

What Is a Function? A function is a rule that relates each input value to one and only one output value.

Mathematicians often compare the idea of a function to a coin stamping machine. The coin is your input, and when you insert it into the machine, the output is a flattened piece of metal with something stamped on it. Just as the machine can only give you only one flattened piece of metal, a function can give you only one result. You can test a mathematical relation to see if it's a function by inputting various values and making sure you get only one result for the output.

If you graph a function, it may generate a straight line or a curve, and a vertical line drawn anywhere on the co-ordinate plane will intersect it at only one point. Input Values Form the Domain of the Function Mathematicians call the set of all input values for a function its domain.