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What else can I help you with?
When an equation includes a term with a variable denominator?
When an equation includes a term with a variable denominator, it can lead to complications such as undefined values, particularly when the denominator is equal to zero. To solve such equations, it's important to identify and exclude any values that make the denominator zero, as these will not be valid solutions. Additionally, when manipulating the equation, one should be cautious to avoid introducing extraneous solutions that do not satisfy the original equation. Ultimately, the presence of a variable denominator requires careful analysis to ensure all potential solutions are valid.
What statement best describes the excluded values of a rational expression?
The excluded values of a rational expression are the values of the variable that make the denominator equal to zero. These values are not in the domain of the expression, as division by zero is undefined. To identify excluded values, set the denominator equal to zero and solve for the variable. Any solution to this equation represents an excluded value.
How do you plot the graph of a quadratic equation?
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.
Why the Y values are in the numerator and the X-Values are in the denominator?
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 is the equation of the asymptote of the graph of?
To determine the equation of the asymptote of a graph, you typically need to analyze the function's behavior as it approaches certain values (often infinity) or points of discontinuity. For rational functions, vertical asymptotes occur where the denominator equals zero, while horizontal asymptotes can be found by comparing the degrees of the numerator and denominator. If you provide a specific function, I can give you its asymptote equations.
What can be said of an ellipse when the two denominator values in its standard equation are the same-?
it becomes a circle
How do you plot the graph of a quadratic equation?
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.
How do you find an oblique asymptotes?
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.
What values of x gives a denominator equal to 0?
The denominator cannot be 0. A number with denominator 0 is not defined.
Why the Y values are in the numerator and the X-Values are in the denominator?
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 is the standard equation for finding range?
What sort of range-distance of an object, range of a plane, range of possible values, are all possible.
What is an equation that's true for all values?
an equation that's true for all values is an identity.
What is called when the denominator is zero in a rational function?
The function is not defined at any values at which the denominator is zero.
What does solve the equation mean?
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 values used with fractions are called?
The numerator and the denominator.
What is the graph of an equation?
The graph of an equation is a visual representation of the values that satisfy the equation.
What is the meaning of solution of an 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.
