Find the End Behavior 2x^3-26x-24

Solution

end behavior

2 x^{3} - 26 x - 24

as x \to + \infty, f (x) \to + \infty, and as x \to - \infty, f (x) \to - \infty

Solution steps

Domain of

2 x^{3} - 26 x - 24 : - \infty < x < \infty

x \to \infty lim (2 x^{3} - 26 x - 24) = \infty

as x \to + \infty, f (x) \to + \infty

x \to - \infty lim (2 x^{3} - 26 x - 24) = - \infty

as x \to - \infty, f (x) \to - \infty

as x \to + \infty, f (x) \to + \infty, and as x \to - \infty, f (x) \to - \infty