Precalculus Examples

$\sec (x)$

Step 1

Write $\sec (x)$ as a function.

$f (x) = \sec (x)$

Step 2

Find $f (- x)$ .

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Step 2.1

Find $f (- x)$ by substituting $- x$ for all occurrence of $x$ in $f (x)$ .

$f (- x) = \sec (- x)$

Step 2.2

Since $\sec (- x)$ is an even function, rewrite $\sec (- x)$ as $\sec (x)$ .

$f (- x) = \sec (x)$

Step 3

A function is even if $f (- x) = f (x)$ .

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Step 3.1

Check if $f (- x) = f (x)$ .

Step 3.2

Since $\sec (x) = \sec (x)$ , the function is even.

The function is even

Step 4