MERIT YARD
11TH MATH CONTINUITY DPP 01
Question 01
Discuss the continuity of the function at \(x = -2\)
\[f(x) = \begin{cases} 2x - 3 & -3 \leq x \leq -2 \\ x + 1 & -2 < x < 0 \end{cases}\]
Question 02
Test the continuity of the following at \(x = 0\)
\[f(x) = \begin{cases} \frac{x}{|x|} & \text{when } x \neq 0 \\ 1 & \text{when } x = 0 \end{cases}\]
Question 03
Show that the function is discontinuous at \(x = 0\)
\[f(x) = \begin{cases} 3x - 2 & \text{when } x \leq 0 \\ x + 1 & \text{when } x > 0 \end{cases}\]
Question 04
Discuss the continuity of the function at \(x = 2\)
\[f(x) = \begin{cases} 2 - x & \text{when } x \leq 2 \\ 2 + x & \text{when } x > 2 \end{cases}\]
Question 05
Show that the function is continuous at \(x = 2\)
\[f(x) = \begin{cases} x - 1 & \text{when } 1 \leq x < 2 \\ 2x - 3 & 2 \leq x \leq 3 \end{cases}\]
