Use the following function rule to find [tex][tex]$f(10)$[/tex][/tex]:

[tex]\[
\begin{array}{l}
f(x) = |6 - x| \\
f(10) =
\end{array}
\][/tex]



Answer :

To find [tex]\( f(10) \)[/tex] using the function rule [tex]\( f(x) = |6 - x| \)[/tex]:

1. Substitute [tex]\( x = 10 \)[/tex] into the function [tex]\( f(x) \)[/tex].
2. Evaluate the expression inside the absolute value: [tex]\( 6 - 10 \)[/tex].
3. Simplify the expression [tex]\( 6 - 10 \)[/tex] to get [tex]\( -4 \)[/tex].
4. Take the absolute value of [tex]\( -4 \)[/tex], which is [tex]\( 4 \)[/tex].

Thus, [tex]\( f(10) = 4 \)[/tex].