Question

if \\( f(x) = \

$$\begin{cases} 3 + 4x & \\text{if } -2 < x < 2 \\\\ 3x + 6 & \\text{if } 3 < x < 8 \\end{cases}$$

\\), then find the value of \\( f(x) \\) at \\( x = 0 \\).

\\( \bigcirc \\) 3
\\( \bigcirc \\) 0

Explanation:

Identify the correct interval for x = 0

$$ x = 0 \in (-2, 2) $$

Evaluate the corresponding function piece

$$ f(0) = 3 + 4(0) = 3 $$

Answer:

• (A) 3 (Correct answer)
• (B) 0