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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.
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What is the difference between power functions and exponential functions?
A power function has the equation f(x)=x^a while an exponential function has the equation f(x)=a^x. In a power function, x is brought to the power of the variable. In an exponential function, the variable is brought to the power x.
What is the difference between a linear function and a quadratic 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.
What is the difference between a algebraic equation and a algebraic expression?
An equation has an equal = sign whereas an expression does not.
What major difference between the equation for a hyperbola and for an ellipse is the operation performed The terms in the equation of an are subtracted?
hyperbola
What is the difference between Lagrange's equation of motion and Euler-Lagrange's equation of motion?
Both are same..just the names are different.
What is the difference between an equation and function?
ewan ko
The difference between Quadratic function and quadratic equation?
dunctions are not set equal to a value
Is there a difference between linear equations and functions?
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.
What is the difference between power functions and exponential functions?
A power function has the equation f(x)=x^a while an exponential function has the equation f(x)=a^x. In a power function, x is brought to the power of the variable. In an exponential function, the variable is brought to the power x.
What is the difference between an equation and an expression?
Expression has no answer. a equation has an answer
What the difference between an exponential equation and a power equation?
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
Example of fundamental difference between a polynomial function and an exponential function?
fundamental difference between a polynomial function and an exponential function?
What is the difference between differentiation and a differential equation?
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.
How would you determine the difference between a solution and an equation?
An equation can lead to a solution.
What is the difference between quadratic equation and quadratic expression?
an equation has an equals sign.
What is difference between nonlinear equation and transcendental equation?
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.
What is the difference between the root of an equation and the solution of an equation?
Root means solution in this context.
