Precalculus Examples

$f (x) = {\begin{cases} x - 3 & x \neq 1 \\ 6 & x = 1 \end{cases}$ Find $f (1)$

Step 1

Identify the piece that describes the function at $x = 1$ . In this case, $x = 1$ falls within the interval $x = 1$ , therefore use $6$ to evaluate $f (1)$ .

$f (x) = {\begin{cases} x - 3 & x \neq 1 \\ 6 & x = 1 \end{cases}$

Step 2

The function is equal to $6$ at $x = 1$ .

$f (x) = 6 (]_{x = 1}^{})$

Step 3

Evaluate the function at $x = 1$ .

$f (1) = 6$