Sec 2.2: Graph of Functions

  1. Sketch a graph of the piecewise defined function. \( f(x) = \begin{cases} 2x+3 & \text{if } x \le -1, \\ 4-x & \text{if } x \ge 1. \end{cases}\)

  2. If  \(g(x)=\begin{cases} 2x+5,   \quad  x < 1\\ 4-2x, \quad  x \geq 1.    \end{cases} \) Find the following:  solution

    3.  (a) \( g(0) \)           (b) \(g(-1)\)                 (c) \( g(5) \)

     (d)  sketch the graph of \(y=g(x)\) 

     (e)  the domain and range of \(g\) from the graph.