Question

find f(13) for this piecewise-defined function.
$f(x) = \

$$\begin{cases} -4x + 1 & \\text{if } x < 3 \\\\ 3x - 7 & \\text{if } 3 \\leq x < 13 \\\\ 2x - 4 & \\text{if } x \\geq 13 \\end{cases}$$

$
write your answer as an integer or as a fraction in simplest form.
$f(13) = \square$
submit

Explanation:

Step1: Determine the applicable piece

We need to find \( f(13) \). Looking at the piecewise function, we check which condition \( x = 13 \) satisfies. The third piece is for \( x \geq 13 \), so we use \( f(x)=2x - 4 \) when \( x = 13 \).

Step2: Substitute \( x = 13 \) into the function

Substitute \( x = 13 \) into \( 2x - 4 \): \( 2(13)-4 \). First, calculate \( 2\times13 = 26 \), then subtract 4: \( 26 - 4 = 22 \).

Answer:

\( 22 \)