Question

find \\(f(-1)\\) for the piece-wise function.

\\f(x) = \

$$\begin{cases} -2x + 1, & x \\le -1 \\\\ 3x - 4, & x > -1 \\end{cases}$$

\\

\\(f(-1) = ?\\)

Explanation:

Determine the correct interval for the input

$$ x = -1 \implies x \le -1 $$

Select the corresponding function rule

$$ f(x) = -2x + 1 $$

Evaluate the function at the given value

$$ f(-1) = -2(-1) + 1 = 2 + 1 = 3 $$

Answer:

Find \(f(-1)\) for the piece-wise function.

$$ f(x) =
LATEXBLOCK0
$$

\(f(-1) =\) <blank>3</blank>