Not all equations are equated to zero, but usually we set a function equal to zero if we want to find its x intercepts, or where the graph of the function crosses the x axis.
Set the first derivative of the function equal to zero, and solve for the variable.
The domain of a rational function is the whole of the real numbers except those points where the denominator of the rational function, simplified if possible, is zero.
The zero of a function is a point where the function evaluates to zero. If you express "y" as a function of "x", i.e. y = f(x), then for a zero of the function, the y-coordinate is 0. In other words, the corresponding point is on the x-axis.
You didn't specify the equation. A minimum or maximum value of a function is often found by calculating the derivative of a function, writing an equation for derivative equal to zero, and then analyzing points where the derivative either doesn't exist, or is equal to zero. You'll find find information about this in introductory calculus books.
you have to first find the derivative of the original function. You then make the derivative equal to zero and solve for x.
Not all equations are equated to zero, but usually we set a function equal to zero if we want to find its x intercepts, or where the graph of the function crosses the x axis.
when you have a function lets say y = mx + b then you set it equal to zero and solve you are finding the x values that give you a y value of zero and a y value of zero lies on the x-axis. therefore when you find a zero of a function it's really the x value of where the function touches or crosses the x axis. hope this helps
Every function has a vertical asymptote at every values that don't belong to the domain of the function. After you find those values you have to study the value of the limit in that point and if the result is infinite, then you have an vertical asymptote in that value
Set the first derivative of the function equal to zero, and solve for the variable.
We set the denominator to zero to find the singularities: points where the graph is undefined.
A zero of a function is a point at which the value of the function is zero. If you graph the function, it is a point at which the graph touches the x-axis.
The y-intercept is the value of a function f when x is equal to zero. So, substitute 0 for x into the equation and find the value of y.
The domain of a rational function is the whole of the real numbers except those points where the denominator of the rational function, simplified if possible, is zero.
The "zero" or "root" of such a function - or of any other function - is the answer to the question: "What value must the variable 'x' have, to let the function have a value of zero?" Or any other variable, depending how the function is defined.
You could try setting the function equal to zero, and finding all the solutions of the equation. Just a suggestion.
The zero of a function is a point where the function evaluates to zero. If you express "y" as a function of "x", i.e. y = f(x), then for a zero of the function, the y-coordinate is 0. In other words, the corresponding point is on the x-axis.