Precalculus Examples

$f (x) = {\begin{cases} {(x - 8)}^{2} - 6 & x \neq 5 \\ 2 & x = 5 \end{cases}$ Find $f (5)$

Step 1

Identify the piece that describes the function at $x = 5$ . In this case, $x = 5$ falls within the interval $x = 5$ , therefore use $2$ to evaluate $f (5)$ .

$f (x) = {\begin{cases} {(x - 8)}^{2} - 6 & x \neq 5 \\ 2 & x = 5 \end{cases}$

Step 2

The function is equal to $2$ at $x = 5$ .

$f (x) = 2 (]_{x = 5}^{})$

Step 3

Evaluate the function at $x = 5$ .

$f (5) = 2$