Question

use the following function rule to find f(10).
f(x) = -4|-1 - x|
f(10) =

Explanation:

Step1: Substitute x = 10 into the function

We have the function \( f(x) = -4|-1 - x| \). Substitute \( x = 10 \) into it, so we get \( f(10) = -4|-1 - 10| \).

Step2: Simplify the expression inside the absolute value

First, calculate \( -1 - 10 = -11 \). So now the function becomes \( f(10) = -4|-11| \).

Step3: Evaluate the absolute value

The absolute value of -11 is 11, so \( |-11| = 11 \). Then the function is \( f(10) = -4\times11 \).

Step4: Multiply the numbers

Calculate \( -4\times11 = -44 \).

Answer:

-44