Question

complete the table.
$f(x) = -4|x|$

$x$	$f(x)$
0	0
1
2

submit

Explanation:

Step1: Recall the absolute value function

The function is \( f(x) = -4|x| \). The absolute value of a number \( x \), denoted \( |x| \), is the non - negative value of \( x \) without regard to its sign. So, \( |1|=1 \) and \( |2| = 2 \).

Step2: Calculate \( f(1) \)

Substitute \( x = 1 \) into the function \( f(x)=-4|x| \). Since \( |1| = 1 \), we have \( f(1)=-4\times|1|=-4\times1=-4 \).

Step3: Calculate \( f(2) \)

Substitute \( x = 2 \) into the function \( f(x)=-4|x| \). Since \( |2| = 2 \), we have \( f(2)=-4\times|2|=-4\times2=-8 \).

Answer:

For \( x = 1 \), \( f(x)=-4 \); for \( x = 2 \), \( f(x)=-8 \)