Algebra Examples

$y = 2^{x}$

Write $y = 2^{x}$ as a function.

$f (x) = 2^{x}$

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

$f (- x) = 2^{- x}$

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

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

$2^{x} = 2^{x}$

Since $2^{x} = 2^{x}$ , the function is even.

The function is even