An example of a wrong function equation is f(x) = sqrt(x) for all non-negative x.
If a graph is a function, it will always have y=... or x=... (or anoher letter equals an equation) for example y= 3x-12 is a function
The equation x=c where c is a constant is the equation of a vertical line. It can't be a function but it is linear so the answer is no. For example, the vertical line produced by the linear equation x = 3 does not represent a function. We cannot write this equation so that y is a function of x because the only x-value is 3 and this "maps" to every real-number y.
This depends on the type of equation. Example: y=2x +2 is called a linear function. in the form of a binomial. y= 2x^2 +3x +2 =is a quadratic function. in the form of a trinomial.
An ordinary differential equation is an equation relating the derivatives of a function to the function and the variable being differentiated against. For example, dy/dx=y+x would be an ordinary differential equation. This is as opposed to a partial differential equation which relates the partial derivatives of a function to the partial variables such as d²u/dx²=-d²u/dt². In a linear ordinary differential equation, the various derivatives never get multiplied together, but they can get multiplied by the variable. For example, d²y/dx²+x*dy/dx=x would be a linear ordinary differential equation. A nonlinear ordinary differential equation does not have this restriction and lets you chain as many derivatives together as you want. For example, d²y/dx² * dy/dx * y = x would be a perfectly valid example
Restate question: What is an example of a non-function? The equation of a circle is x2 + y2 = r2. Since a function can only be intersected once by a vertical line, the circle is not a function (almost any vertical line through the circle will cut it twice). If you solve the equation for y, you must write: y = +/- sqrt(r2-x2), so for each value of x there are TWO values of y.
No. A function need not be linear. For example, y = sin(x) is a function of x but it is not a linear equation.
If it is a linear function, it is quite easy to solve the equation explicitly, using standard methods of equation-solving. For example, if you have "y" as a function of "x", you would have to solve the variable for "x".
If a graph is a function, it will always have y=... or x=... (or anoher letter equals an equation) for example y= 3x-12 is a function
I don't think there is a special name for that. Note that not all functions can be described by a single equation - at least, not in a natural way. For example, a function may be described by parts.
You can tell if an equation is a function if for any x value that you put into the function, you get only one y value. The equation you asked about is the equation of a line. It is a function.
The equation x=c where c is a constant is the equation of a vertical line. It can't be a function but it is linear so the answer is no. For example, the vertical line produced by the linear equation x = 3 does not represent a function. We cannot write this equation so that y is a function of x because the only x-value is 3 and this "maps" to every real-number y.
You should substitute your solution in the equation. If the solution is correct you will receive equality. Otherwise your solution is wrong.
This depends on the type of equation. Example: y=2x +2 is called a linear function. in the form of a binomial. y= 2x^2 +3x +2 =is a quadratic function. in the form of a trinomial.
An ordinary differential equation is an equation relating the derivatives of a function to the function and the variable being differentiated against. For example, dy/dx=y+x would be an ordinary differential equation. This is as opposed to a partial differential equation which relates the partial derivatives of a function to the partial variables such as d²u/dx²=-d²u/dt². In a linear ordinary differential equation, the various derivatives never get multiplied together, but they can get multiplied by the variable. For example, d²y/dx²+x*dy/dx=x would be a linear ordinary differential equation. A nonlinear ordinary differential equation does not have this restriction and lets you chain as many derivatives together as you want. For example, d²y/dx² * dy/dx * y = x would be a perfectly valid example
a function rule
No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.
Restate question: What is an example of a non-function? The equation of a circle is x2 + y2 = r2. Since a function can only be intersected once by a vertical line, the circle is not a function (almost any vertical line through the circle will cut it twice). If you solve the equation for y, you must write: y = +/- sqrt(r2-x2), so for each value of x there are TWO values of y.