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c) If n > m, then the graph of f has _____ horizontal asymptote. zeros line y = 0 no You Do Find all vertical and horizontal asymptotes of the following function Vertical Asymptote: x = -1 Horizontal Asymptote: y = 2 You Do Again Find all vertical and horizontal asymptotes of the following function Vertical Asymptote: None Horizontal Asymptote ...

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7) An absolute value function and a rational function are shown below. • The (absolute value function has a rule of )=−2| +4|+7.2 • The rational function has asymptotes at =−2 =−1 • The rational function and the absolute value function intersect at =−8.26 What is the rule of the rational function? ( )= 316 Chapter 6 Rational Functions Graphing a Rational Function of the Form y = ax + b cx + d Graph f(x) = 2x + 1 x − 3State the domain and range. SOLUTION Step 1 Draw the asymptotes.

The rational function f(x) = P(x) / Q(x) in lowest terms has an oblique asymptote if the degree of the numerator, P(x), is exactly one greater than the degree of the denominator, Q(x). You can find oblique asymptotes using polynomial division, where the quotient is the equation of the oblique asymptote. This is a rational function. The domain of a rational function is restricted where the denominator is 0. In this case, x + 2 is the denominator, and this is 0 only when x = −2. For the range, create a graph using a graphing utility and look for asymptotes: One asymptote, a vertical asymptote, is at x =−2, as you should expect