Question

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

$$\begin{cases} \\frac{3}{8}x - 4 & \\text{if } x < -3 \\\\ 2x - 9 & \\text{if } x \\geq -3 \\end{cases}$$

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

Explanation:

Step1: Determine the applicable function

We need to find \( f(8) \). Since \( 8 \geq -3 \), we use the second part of the piecewise function, which is \( f(x)=2x - 9 \).

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

Substitute \( x = 8 \) into \( f(x)=2x - 9 \): \( f(8)=2(8)-9 \).

Step3: Calculate the result

First, calculate \( 2(8)=16 \). Then, \( 16 - 9 = 7 \).

Answer:

\( 7 \)