Precalculus Examples

$f (x) = {\begin{cases} 6 & x \leq - 4 \\ - 3 x - 6 & - 4 = 0 \end{cases}$ Find $f (0)$

Step 1

Identify the piece that describes the function at $x = 0$ . In this case, $x = 0$ falls within the interval $- 4 = 0$ , therefore use $- 3 x - 6$ to evaluate $f (0)$ .

$f (x) = {\begin{cases} 6 & x \leq - 4 \\ - 3 x - 6 & - 4 = 0 \end{cases}$

Step 2

The function is equal to $- 3 x - 6$ at $x = 0$ .

$f (x) = - 3 x - 6 (]_{x = 0}^{})$

Step 3

Evaluate the function at $x = 0$ .

$f (0) = - 3 \cdot 0 - 6$

Step 4

Multiply $- 3$ by $0$ .

$f (0) = 0 - 6$

Step 5

Subtract $6$ from $0$ .

$f (0) = - 6$