i. If a function \(f(x)\) is defined by \(f(x) = \begin{cases} 1 + x \ \text{ if } x \le -1 \\ x^2 \ \text{ if } x \gt -1 \end{cases}\) Evaluate…

i. If a function \(f(x)\) is defined by

\(f(x) = \begin{cases} 1 + x \ \text{ if } x \le -1 \\ x^2 \ \text{ if } x \gt -1 \end{cases}\)

Evaluate \(f(-3)\), \(f(-1)\) and \(f(0)\) and sketch the graph.

ii. Define different types of discontinuity at a point. At what points the function becomes continuous of the function \(f(x) = \frac{x-2}{x^2-7x+10}\)