If $f(x)=-3|x-5|$, find $f(2)$
\[
f(2)=
\]
$-6$
0
$-9$
9

Answer

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Answer

So, the final answer is $\boxed{-9}$

Steps

Step 1 ：The function $f(x)$ is an absolute value function, which means it returns the absolute value of its input. In this case, the input is $x-5$. The absolute value of a number is its distance from zero on the number line, so it is always positive or zero. However, the function $f(x)$ multiplies the absolute value by -3, so the output will be negative or zero.

Step 2 ：To find $f(2)$, we need to substitute $2$ for $x$ in the function and calculate the result.

Step 3 ：Substitute $x = 2$ into the function, we get $f(2) = -3|2-5| = -3|-3| = -3*3 = -9$

Step 4 ：So, the final answer is $\boxed{-9}$

If $f(x)=-3|x-5|$, find $f(2)$\[f(2)=\]$-6$0$-9$9

Answer

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If $f(x)=-3|x-5|$, find $f(2)$
\[
f(2)=
\]
$-6$
0
$-9$
9