Question

find f(-8) for this piecewise-defined function.
f(x) = \

$$\begin{cases} \\frac{5}{2}x + 2 & \\text{if } x \\leq -4 \\\\ 3x - \\frac{1}{2} & \\text{if } x > -4 \\end{cases}$$

write your answer as an integer or as a fraction in simplest form.
f(-8) = \square

Explanation:

Step1: Determine the applicable function part

Since \(-8 \leq -4\), we use the first part of the piecewise function: \(f(x)=\frac{5}{2}x + 2\).

Step2: Substitute \(x = -8\) into the function

Substitute \(x=-8\) into \(\frac{5}{2}x + 2\):

$$
LATEXBLOCK0
$$

Answer:

\(-18\)