A function \(f(x)\) is defined as follows: \(f(x) = \begin{cases} 3x + 2 & \text{for } -2 \le x < 0 \\ 2 - 5x & \text{for } 0 \le x < 2 \\ 5 - 2x &…
bitm Basic Mathematics · 2025 · Solved Question with Answer
A function \(f(x)\) is defined as follows:
\(f(x) = \begin{cases} 3x + 2 & \text{for } -2 \le x < 0 \\ 2 - 5x & \text{for } 0 \le x < 2 \\ 5 - 2x & \text{for } x \ge 2 \end{cases}\)
Examine the continuity and discontinuity of the function at \(x = 0\) and \(x = 2\).