Step 1:
Write the function
[tex]\text{y = tan\lparen2x\rparen}[/tex]Step 2:
Plot the graph for the following ordered pairs:
[tex]\begin{gathered} \text{x = 0} \\ tan(2x)\text{ = tan\lparen2}\times0)\text{ = tan 0 = 0} \\ x\text{ = }\frac{\pi}{2} \\ tan(2x)=tan(\text{2}\times\frac{\pi}{2})\text{ = tan}\pi\text{ = 0} \\ \text{x = }\pi \\ tan(2x)=tan(\text{2}\times\pi\text{\rparen = tan2}\pi\text{ = 0} \\ x\text{ = }\frac{-\pi}{2} \\ tan(2x)=tan(\text{2}\times\frac{-\pi}{2})\text{ = tan\lparen-}\pi)\text{ = 0} \\ x\text{ = -}\pi \\ tan(2x)=tan(\text{2}\times-\pi)\text{ = tan\lparen-2}\pi)\text{ = 0} \end{gathered}[/tex]Step 3:
Plot the table of the ordered pairs
Step 4:
Use the points to graph the function.
Plot the graph of the function
