Question

find f(4) for this piecewise-defined function.
\\( f(x) = \

$$\begin{cases} -x - 8 & \\text{if } x < 10 \\\\ 2x + 8 & \\text{if } x \\geq 10 \\end{cases}$$

\\)
write your answer as an integer or as a fraction in simplest form.
\\( f(4) = \boxed{} \\)

Explanation:

Step1: Determine the applicable function

Since \( 4 < 10 \), we use the function \( f(x)=-x - 8 \).

Step2: Substitute \( x = 4 \) into the function

Substitute \( x = 4 \) into \( f(x)=-x - 8 \), we get \( f(4)=-4 - 8 \).

Step3: Calculate the result

\( -4 - 8=-12 \).

Answer:

\( -12 \)