Question

functions & tables - linear
given the function $f(x) = -3x - 2$ complete the table.

$x$	$f(x)$
$-2$
$0$
$2$

submit

Explanation:

Step1: For \( x = -1 \)

Substitute \( x = -1 \) into \( f(x) = -3x - 2 \).
\( f(-1) = -3(-1) - 2 = 3 - 2 = 1 \)

Step2: For \( x = -2 \)

Substitute \( x = -2 \) into \( f(x) = -3x - 2 \).
\( f(-2) = -3(-2) - 2 = 6 - 2 = 4 \)

Step3: For \( x = 0 \)

Substitute \( x = 0 \) into \( f(x) = -3x - 2 \).
\( f(0) = -3(0) - 2 = 0 - 2 = -2 \)

Step4: For \( x = 2 \)

Substitute \( x = 2 \) into \( f(x) = -3x - 2 \).
\( f(2) = -3(2) - 2 = -6 - 2 = -8 \)

Answer:

When \( x = -1 \), \( f(x) = 1 \); when \( x = -2 \), \( f(x) = 4 \); when \( x = 0 \), \( f(x) = -2 \); when \( x = 2 \), \( f(x) = -8 \)

The completed table (rows in order of \( x = -1, -2, 0, 2 \)) has \( f(x) \) values: \( 1 \), \( 4 \), \( -2 \), \( -8 \)