Precalculus Examples

$f (x) = {\begin{cases} - x - 7 & x \neq - 2 \\ 0 & x = - 2 \end{cases}$ Find $f (- 2)$

Step 1

Identify the piece that describes the function at $x = - 2$ . In this case, $x = - 2$ falls within the interval $x = - 2$ , therefore use $0$ to evaluate $f (- 2)$ .

$f (x) = {\begin{cases} - x - 7 & x \neq - 2 \\ 0 & x = - 2 \end{cases}$

Step 2

The function is equal to $0$ at $x = - 2$ .

$f (x) = 0 (]_{x = - 2}^{})$

Step 3

Evaluate the function at $x = - 2$ .

$f (- 2) = 0$