For an algebraic function in one variable, as many as the highest power of the variable.
The presence of any term that is not a constant or a multiple of the independent variable. It can be any other power of that variable, or a trigonometric or exponential or any other function.
Neither variable appears anywhere in the equation in a denominator, or raised to any power except the first power.
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.
Dependent variable
For an algebraic function in one variable, as many as the highest power of the variable.
Yes.
The presence of any term that is not a constant or a multiple of the independent variable. It can be any other power of that variable, or a trigonometric or exponential or any other function.
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
If the variable x is raised to the power of 1 or 0. No other possibilities.
Power functions are functions of the form f(x) = ax^n, where a and n are constants and n is a real number. Exponential functions are functions of the form f(x) = a^x, where a is a constant and x is a real number. The key difference is that in power functions, the variable x is raised to a constant exponent, while in exponential functions, a constant base is raised to the variable x. Additionally, exponential functions grow at a faster rate compared to power functions as x increases.
Neither variable appears anywhere in the equation in a denominator, or raised to any power except the first power.
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.
The same number as the highest power of the independent variable.
No.
local variable
It is a value in the co-domain [range] of the function.