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How can you define when the Graph is Function or not?
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
Are all linear equations functions why or why not?
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.
What is a equation with one or more variables called?
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.
What is nonlinear ordinary differential equation?
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
What is an None example of function?
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.
