1. [5/6 Points] DETAILS PREVIOUS ANSWERS SESSCALCET2 4.2.018. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Show that the equation has exactly one real root. x3 + ex = 0 Let f(x) = x3 + ex. Then f(-1) = -1tel v 0. Since f is the sum of a polynomial and the natural exponential function, f is continuous and differentiable for all x. By the Intermediate Value Theorem, there is a number c in (-1, 0) such that f(c) = 0. Thus, the given equation has at least one real root. If the equation has distinct real roots a and b with a