Chapter 4.6, Problem 90E

Solution

The main features of the graph, and the summary like name of period, amplitude, domain, range, asymptotes, and zeros.

See corresponding graph and attributes.

Given information: the function is $g(x)=e^{\tan x}$ .

Calculation: Period: $\pi$

Amplitude: none

Domain: $x\ne \frac{\pi }{2}+\pi n$ where $n\in \mathbb{Z}$

Range: $(0,\infty )$

Asymptotes: every $x=\frac{\pi }{2}+\pi n$ where $n\in \mathbb{Z}$

Zeros: none