Discuss the continuity of the function f, where f is defined by`f(x)={{:(-2, ifxlt=-1),( 2x , if-1 < x lt= 1),( 2, ifx >1):}`

Explanation

To discuss the continuity of the function \( f \) defined as follows:

\[
f(x) =
\begin{cases}
-2 & \text{if } x \leq -1 \\
2x & \text{if } -1 < x < 1 \\
2 & \text{if } x > 1
...