A function describes a relation between several variables. For example the function f(x)=x2 describes a mapping from the variable x to a value that is the square of x. That is, for every real number we put as x, we will get a value for f(x). A function is defined for some domain and gets values from some range.
An equation takes two terms and says they are equal. Usually both terms are functions of the same variable(s). For example, to build the equation x2 = x+2,
we will use f(x) = x2, g(x) = x+2 and say that f(x)=g(x).
Solving an equation means finding the set of values of the equation's variables which satisfy the equation. This set of values has to be part of the domains of the functions in both terms of the equation.
A linear equation describes a line like 2x+1=y. If you were to graph that equation, then it would give you a line. A quadratic equation is like x^2+2x+1=y. Graphing this equation would give you a U shaped graph called a parabola.
An equation has an equal = sign whereas an expression does not.
hyperbola
Both are same..just the names are different.
Equation: x+3=3+x (notice the equal sign: equal; equation)Expression: x+3 (notice no equal sign)
ewan ko
dunctions are not set equal to a value
A linear equation IS a function. A function can look like X2+X+C, or X3+0, or X+Y+C, or many other ways. The function X+Y+C is a function in two variables, and can be a linear equation.
Expression has no answer. a equation has an answer
The term that describes a function in which there is a common difference between each y-value is "linear function." In a linear function, the relationship between the x-values and y-values can be represented by the equation (y = mx + b), where (m) is the slope, indicating the constant rate of change or common difference. This results in a straight line when graphed.
y = ax, where a is some constant, is an exponential function in x y = xa, where a is some constant, is a power function in x If a > 1 then the exponential will be greater than the power for x > a
fundamental difference between a polynomial function and an exponential function?
Differentiation: when you differentiate a function, you find a new function (the derivative) which expresses the old function's rate of change. For example, if f(x) = 2x, then the derivative f ' (x) = 2 for all x, because the function is always increasing by 2 units for every increase of x by 1 unit.A differential equation is an equation expressing a relationship between a named function and its derivatives. This can be as simple as y = y', where y is the original function and y' the derivative.
A first order differential equation involves only the first derivative of the unknown function, while a second order differential equation involves the second derivative as well.
an equation has an equals sign.
An equation can lead to a solution.
A polynomial equation of order >1 that is, where the power of the variable is greater than 1 is a non linear function. A transcendental function is one that cannot be expressed as a finite number of algebaraic operations (addition, multiplication, roots). The exponential and trigonometric functions (and their inverses) are examples.