Unit 4 Flashcard: Rational Functions Operations

Excluded values are the values of the variable that make the denominator equal to zero, which are not allowed in the function.

The excluded values are $$x \ne -2$$ and $$x \ne -7$$ .

To divide rational functions, multiply the first function by the reciprocal of the second function.

Adding rational functions involves finding a common denominator, combining the numerators, and simplifying the result.

The simplified form is $$\frac{x-7}{x+2}$$ .

The result is $$\frac{x+3}{4(x+2)}$$ .

A rational function is a function that can be expressed as the ratio of two polynomials.

The LCD is used to combine fractions by ensuring all fractions have the same denominator.

Vertical asymptotes occur at the values of x that make the denominator zero, provided these values do not cancel with the numerator.

The horizontal asymptote describes the behavior of the function as x approaches infinity or negative infinity.