When the two denominator values in the eclipse standard equation are the same, it can be said to be in foci.
Just like any other equation, you can set up a table of x values, and calculate the corresponding y values. Then plot the points on the graph. In this case, it helps to have some familiarity with quadratic equations (you can find a discussion in algebra books), and recognize (from the form of the equation) whether your quadratic equation represents a parabola, a circle, an ellipse, or a hyperbola.
That is not necessarily so. You can have the X-Values in the numerator and the Y-values in the denominator. The only half-way decent explanation is in the X-values represent an independent variable and the Ys are dependent.
The graph of an equation is a visual representation of the values that satisfy the equation.
The solution to an equation consists of the value (or values) of all the variables such that the equation is true when the variable(s) take those values.
The denominator cannot be 0. If the denominator is a negative number, a fraction, a surd or a complex number (depends on your level), you are expected to rescale the fraction so that the denominator is a positive integer.
it becomes a circle
Just like any other equation, you can set up a table of x values, and calculate the corresponding y values. Then plot the points on the graph. In this case, it helps to have some familiarity with quadratic equations (you can find a discussion in algebra books), and recognize (from the form of the equation) whether your quadratic equation represents a parabola, a circle, an ellipse, or a hyperbola.
An oblique asymptote is another way of saying "slant asymptote."When the degree of the numerator is one greater than the denominator, an equation has a slant asymptote. You divide the numerator by the denominator, and get a value. Sometimes, the division pops out a remainder, but ignore that, and take the answer minus the remainder. Make your "adapted answer" equal to yand that is your asymptote equation. To graph the equation, plug values.
The denominator cannot be 0. A number with denominator 0 is not defined.
That is not necessarily so. You can have the X-Values in the numerator and the Y-values in the denominator. The only half-way decent explanation is in the X-values represent an independent variable and the Ys are dependent.
What sort of range-distance of an object, range of a plane, range of possible values, are all possible.
The function is not defined at any values at which the denominator is zero.
an equation that's true for all values is an identity.
Find values for the variable that satisfy the equation, that is if you replace those values for the variable into the original equation, the equation becomes a true statement.
The numerator and the denominator.
The graph of an equation is a visual representation of the values that satisfy the equation.
finding vertical asymptotes is easy. lets use the equation y = (2x-2)/((x^2)-2x-3) since its a rational equation, all we have to do to find the vertical asymptotes is find the values at which the denominator would be equal to 0. since this makes it an undefined equation, that is where the asymptotes are. for this equation, -1 and 3 are the answers for the vertical ayspmtotes. the horizontal asymptotes are a lot more tricky. to solve them, simplify the equation if it is in factored form, then divide all terms both in the numerator and denominator with the term with the highest degree. so the horizontal asymptote of this equation is 0.