An oblique asymptote is a diagonal line marking a specific range of values toward which the graph of a function may approach, but generally never reach. An oblique asymptote exists when the numerator of the function is exactly one degree greater than the denominator. An oblique asymptote may be found through long division.
A rational expression is a fraction with polynomials in the numerator and the denominator.
A vertical asymptote is a vertical line marking a specific value toward which the graph of a function may approach, but will never reach.
Reduce rational expressions involving fractions to simplest terms and find their excluded values.