Question

for the piecewise linear function, find (a) f(-4), (b) f(-1), (c) f(0), (d) f(2), and (e) f(4)
$f(x)=\

$$\begin{cases}2x&\\text{if }x\\leq -1\\\\x - 1&\\text{if }x > -1\\end{cases}$$

$
(a) $f(-4)=\square$

Explanation:

Step1: Determine the applicable function

Since \(-4 \leq -1\), we use the function \(f(x) = 2x\) for \(x \leq -1\).

Step2: Substitute \(x = -4\) into the function

Substitute \(x = -4\) into \(f(x) = 2x\), we get \(f(-4)=2\times(-4)\).

Step3: Calculate the result

\(2\times(-4)= -8\).

Answer:

\(-8\)