Question

Sketch the graph of the function shown on the photo below

Answer 1

Start by finding the values on the linear portion of the piecewise function for 2 and -2

$\begin{gathered} \text{if x=-2} \\ 2\cdot(-2)+1 \\ -4+1 \\ -3 \\ \text{if x=2} \\ 2\cdot(2)+1 \\ 4+1 \\ 5 \end{gathered}$

then, start graphing a straight horizontal line at y=-3 until x=-2

then, draw a line until (2,5)

finally, draw a straight line at y=3, and use an open circle since the value for x=2 is 5 and not 3