Question

given the function $f(x) = 3|x| - 7$
calculate the following values.
$f(-7) = \square$
$f(6) = \square$
$f(0) = \square$

Explanation:

Step1: Substitute $x=-7$ into $f(x)$

$f(-7)=3|-7|-7$

Step2: Compute absolute value and simplify

$3\times7 - 7=21-7=14$

Step3: Substitute $x=6$ into $f(x)$

$f(6)=3|6|-7$

Step4: Compute absolute value and simplify

$3\times6 - 7=18-7=11$

Step5: Substitute $x=0$ into $f(x)$

$f(0)=3|0|-7$

Step6: Compute absolute value and simplify

$3\times0 - 7=0-7=-7$

Answer:

$f(-7)=14$
$f(6)=11$
$f(0)=-7$