A rational function is a function that can be expressed as the ratio of two polynomial functions. It has the form f(x) = p(x)/q(x), where p(x) and q(x) are polynomial functions.
Rational functions have certain properties that are important to understand. First, the domain of a rational function is all real numbers except for the values of x that make the denominator equal to zero. These values, known as the vertical asymptotes, determine the behavior of the function near those points.
To simplify rational expressions, you can cancel out common factors in the numerator and denominator. However, it's crucial to remember that canceling out factors can only be done if they are not equal to zero.
Rational equations involve rational expressions set equal to each other. To solve them, you can cross multiply and then solve the resulting polynomial equation.
Remember, understanding rational functions and their properties can help you analyze various real-world situations or mathematical problems.
Keep up the great work and enjoy practicing rational functions!