Precalculus Examples

$f (x) = {\begin{cases} {(x - 2)}^{2} - 1 & x \neq 0 \\ 4 & x = 0 \end{cases}$ Find $f (0)$

Step 1

Identify the piece that describes the function at $x = 0$ . In this case, $x = 0$ falls within the interval $x = 0$ , therefore use $4$ to evaluate $f (0)$ .

$f (x) = {\begin{cases} {(x - 2)}^{2} - 1 & x \neq 0 \\ 4 & x = 0 \end{cases}$

Step 2

The function is equal to $4$ at $x = 0$ .

$f (x) = 4 (]_{x = 0}^{})$

Step 3

Evaluate the function at $x = 0$ .

$f (0) = 4$