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 }xleq -1\\x - 1&\text{if }x > -1end{cases}
(a) ( f(-4)= -8 )
(b) ( f(-1)= -2 )
(c) ( f(0)= -1 )
(d) ( f(2)= 1 )
(e) ( f(4)=square )

Explanation:

Step1: Determine the applicable function for \( x = 4 \)

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

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

Substitute \( x = 4 \) into \( f(x)=x - 1 \), we get \( f(4)=4 - 1 \).

Step3: Calculate the result

\( 4 - 1 = 3 \).

Answer:

\( 3 \)