End behavior. In the example below, we show that the limits at infinity of a rat...
End behavior. In the example below, we show that the limits at infinity of a rational function f (x) = p (x) q (x) depend on the relationship between the degree of the numerator and the degree of the denominator. Graph F: This is an even-degree polynomial, and it has five bumps (and a flex point at that third zero). Mar 7, 2026 ยท Charley Manley opened up about her decision to end things with Craig Conover after Wednesday night's episode of 'Southern Charm. Since the degree is even, the behavior as x →+∞ and x→ −∞ will be similar in terms of direction (both ends will go to either +∞ or −∞), but the sign of the leading coefficient determines whether the ends go up or down. End behavior describes the trend of the function as x approaches positive or negative infinity, indicating the function's long-term behavior. See examples of graphs and explanations of how to use end behavior to graph polynomials. . Master end behavior of a function with interactive lessons and practice problems! Designed for students like you! Polynomial end behavior is the direction the graph of a polynomial function goes as the input value goes "to infinity" on the left and right sides of the graph. More for You Heavy snow warning as 5 feet to strike: 'Blizzard conditions' Graph E: From the end-behavior, I can tell that this graph is from an even-degree polynomial. End Behavior for Algebraic Functions The end behavior for rational functions and functions involving radicals is a little more complicated than for polynomials. bhjievpsidztinyxnvihziztuzprrahijejurfixblcpcgrclb