If a quadratic function is 0 for any value of the variable, then that value is a solution.

A random variable is a function that assigns unique numerical values to all possible outcomes of a random experiment.

A real valued function defined on a sample space of an experiment is also called random variable.

It is not necessary to to declare variables inside the function in C. If you declare a variable inside a function, the variable becomes local for the function and another variable of same name can be declared in any other function, but you can not use the variable declared in other function. When you declare any variable outside the function body then the variable becomes global and can be used in any function of the program.

Note: errno is an example for a variable declared outside any function.

No.

local variable

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

In a polynomial function, the variable x is raised to some integer power.

f(x) = 5x³ + 8x⁵

g(x) = (x + 5)²

In an exponential function, some real number is raised to the power of variable x or some function of x

f(x) = 5ˣ

g(x) = eˣ⁺²

4 sin(6x) cos(6x) is already a function of a single variable. The variable is ' x '.

function is the relationship between independent variable & dependent variable

i.e. F:R-R

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

with an assignment:

variable = value

variable += value

variable /= -3;

...

Dependent variable

You cannot arbitrarily determine what is passed to a function from outside of the function. If the function expects a reference, then the memory address of the variable will be automatically passed to the function. If the function expects a value, then a copy of the variable's value is automatically passed instead. In other words, it is the function signature that determines what is passed, not how you call the function.

The unknown variable in that function.

The variable for the domain is typically referred to as the "independent variable." In a mathematical function, the independent variable represents the input values for which the function is defined, while the corresponding output values are determined by the dependent variable. For example, in the function ( f(x) = x^2 ), ( x ) is the independent variable from the domain.

Pseudocode is not a programming language (it's specifically intended for human interpretation), so there is no need to declare variables, you simply define them as and when you require them. For instance:

Let x = 42

Let y = x * 2

If you define a variable inside of your function, the variable can be referred and used only inside of that function. It means that you will not able to use the variable in another function (including main). Area of code where your variable can be used after declaration is usually called visibility of the variable.

Calling a function by value means the variable will be copied. That means that, any changes you make to the variable will be applied to the copy, and not the real one. If you pass by reference, the actual intended variable is modified.

A variable declared static outside of a function has a scope the of the source file only. It is not a global variable. A variable declared outside of a function and without the static qualifier would be a global 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").

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").

A function with a variable as a power typically takes the form ( f(x) = x^n ), where ( n ) is a real number and ( x ) is the variable. This type of function is called a power function, and its behavior varies depending on the value of ( n ). For example, if ( n ) is positive, the function increases as ( x ) increases; if ( n ) is negative, the function decreases and approaches zero as ( x ) increases. Power functions can exhibit different shapes and characteristics based on the exponent, including linear, quadratic, cubic, or more complex behaviors.

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).

You cannot.

A nominal variable is a variable measured in current dollars (the value of the dollar for the specific period discussed), and a real variable is a variable measured in constant dollars (the value of the dollar for the base period). That is, a real variable adjusts for the effects of inflation.

The wording is confusing, as a quadratic function is normally a function of one variable. If you mean the graph of y = f(x) where f is a quadratic function, then changes to the variable y will do some of those things.

The transformation y --> -y will reflect the graph about the x-axis.

The transformation y --> Ay (where A is real number) will cause the graph to stretch or shrink vertically.

The transformation y --> y+A will translate it up or down.

A function that has a variable under a radical sign.

A static variable is a variable allocated in static storage.

A local variable is a variable declared inside a function.

A global variable is a variable declared outside of any class or function.

Note that local variables and global variables can both be allocated in static storage.

When you acess a global variable inside main function you must use the same name, because the variable declared as global can be accessed by any function/procedure on the class where it was defined.

It is a monomial.

The "zero" or "root" of such a function - or of any other function - is the answer to the question: "What value must the variable 'x' have, to let the function have a value of zero?" Or any other variable, depending how the function is defined.

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

I am not entirely sure what you mean; but basically, you can evaluate (calculate) the function for each value of the variable.

To find the value of the other variable

A zeta function is the function of the complex variable s which analytically continues the sum of the series 1/n^3 for all values from n=1 to infinity, which converges when the real part of s is greater than 1.

A rule that assigns each value of the independent variable corresponds to a function. In mathematical terms, a function takes an input (the independent variable) and produces a unique output (the dependent variable). This relationship ensures that for every input, there is a single, defined output, which is crucial for analyzing and understanding mathematical and real-world scenarios. Functions can be represented in various forms, such as equations, graphs, or tables.

It is a term.

Scope of static variable is with in the file if it is static global.

Scope of static variable is with in the function if variable is declared local to a function.

But the life time is throughout the program

When you call a function, its parameters may transfer data to the function, back from the function, or both directions. The second sort of them is called as output variable.

No, because a function can also be defined between two interdependent variables so that there is no independent variable.

One term that can be expressed as a real number, a variable, or the product or quotient of a variable and a real number is "monomial." A monomial is an algebraic expression that consists of a single term, which can be a constant (real number), a variable (like (x)), or a combination of both (such as (3x) or (\frac{5}{2}y^2)).

If the variable is local to the function it exists until the function returns.

a variable can be defined as a quantity in an equation which explains the behaviour of the given function

A variable is a named memory address in which a value may be stored and mutated.

Real costs and variable costs are not the same, though they can overlap. Real costs typically refer to the actual costs incurred in production, including both fixed and variable costs, while variable costs specifically change with the level of production, such as materials and labor directly associated with output. In summary, while all variable costs are real costs, not all real costs are variable costs.

It is called a term.

A monomial.

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.