# Chapter 4 - Graphs of the Circular Functions - Section 4.4 Graphs of the Secant and Cosecant Functions - 4.4 Exercises - Page 180: 25

$f(x) = sec~4x$

#### Work Step by Step

The graph has the general shape of a secant graph. However, compared with the standard secant graph, the first positive asymptote occurs at $x = \frac{\pi}{8}$ instead of $x = \frac{\pi}{2}$. Therefore, we need to include an angle of $4x$ in the function. The equation is: $f(x) = sec~4x$

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