Answer
Interval of Increase: (-∞, 0) U (1.099, ∞)
Interval of Decrease: (0, 1.099)
Work Step by Step
This question asks for a graph and the intervals in which $f(x)$ is increasing or decreasing
Given $f(x) = e^x - 3e^{-x} - 4x$
See graph below.
From the interval (-∞, 0) and (1.099, ∞), the graph is increasing
From the interval (0, 1.099), the graph is decreasing
Thus the interval of $f(x)$ increasing is (-∞, 0) and (1.099, ∞) and the interval of $f(x)$ decreasing is (0, 1.099)
