Find the requested value.
[tex]f(4)[/tex] for [tex]f(x)=\left\{\begin{array}{ll}6 x \cdot 3 & \text { if } x \leq 0 \\ 6-3 x & \text { if } 0\ \textless \ x\ \textless \ 3 \\ x & \text { if } x \geq 3\end{array}\right.[/tex]
A. 27
B. 4
C. -6
D. 3
Answer (1)
Determine which condition x = 4 satisfies: x ≥ 3 .
Use the third case: f ( x ) = x .
Substitute x = 4 into f ( x ) = x .
Find the value: f ( 4 ) = 4 .
Explanation
Understanding the Problem We are given a piecewise function f ( x ) and we need to find the value of f ( 4 ) . The function is defined as follows:
The Piecewise Function $f(x)=\left{\begin{array}{ll}6 x \cdot 3 & \text { if } x \leq 0 \ 6-3 x & \text { if } 0
