Rational Function Domain Zeros

The domain of a rational function is all of the x values that don t break the function if a value of x doesn t make the denominator zero it s part of the domain.

Rational function domain zeros. This lesson demonstrates how to locate the zeros of a rational function. A rational function is simply a fraction and in a fraction the denominator cannot equal zero because it would be undefined. To find the domain i ll ignore the x 2 in the numerator since the numerator does not cause division by zero and instead i ll look at the denominator i ll set the denominator equal to zero and solve.

If a value of x makes the function blow up it s not part of the domain. Therefore the domain is. Y x 2 x 2 x 2 if x 2 then the denominator becomes zero and the value of y becomes undefined.

R 2 range of a rational function. In the above rational function let us equate the denominator x 2 to zero. To find these x values to be excluded from the domain of a rational function equate the denominator to zero and solve for x.

We can use algebraic methods to calculate their latex x latex intercepts also known as zeros or roots which are points where the graph intersects the latex x latex axis. The x values in the solution will be the x values which would cause division by zero. Solve the equation found in step 1.

The domain of the 09 rational function domain and zeros part 1 vertical asymptotes graphing hot math news in this lesson you will learn what a rational function is in algebra. So y is defined for all real values of x except x 2. To find which numbers make the fraction undefined create an equation where the denominator is not equal to zero.

Let y f x be a function. These x values become asymptotes sure the first rule of rational functions is we don t talk about rational functions but the second rule is to never divide. Rational functions can be graphed on the coordinate plane.