Question

question
$f(x)=\

$$\begin{cases}-\\frac{2}{5}x - 6&\\text{for}&- 5 < x < 0\\6&\\text{for}&x = 0\\-3&\\text{for}&0 < x < 4\\end{cases}$$

$
find $f(4)$

Explanation:

Step1: Check the domain of x = 4

The function is defined in three - piece form. The value x = 4 is not in the domains - 5 < x < 0, x = 0, or 0 < x < 4. Since there is no definition for x = 4 in the given piece - wise function, the function is undefined at x = 4.

Answer:

Undefined