Question

List ordered pairs in table, plot points and graphs y=tan(2x)

Answer 1

Step 1:

Write the function

$\text{y = tan\lparen2x\rparen}$

Step 2:

Plot the graph for the following ordered pairs:

$\begin{gathered} \text{x = 0} \\ tan(2x)\text{ = tan\lparen2}\times0)\text{ = tan 0 = 0} \\ x\text{ = }\frac{\pi}{2} \\ tan(2x)=tan(\text{2}\times\frac{\pi}{2})\text{ = tan}\pi\text{ = 0} \\ \text{x = }\pi \\ tan(2x)=tan(\text{2}\times\pi\text{\rparen = tan2}\pi\text{ = 0} \\ x\text{ = }\frac{-\pi}{2} \\ tan(2x)=tan(\text{2}\times\frac{-\pi}{2})\text{ = tan\lparen-}\pi)\text{ = 0} \\ x\text{ = -}\pi \\ tan(2x)=tan(\text{2}\times-\pi)\text{ = tan\lparen-2}\pi)\text{ = 0} \end{gathered}$

Step 3:

Plot the table of the ordered pairs

Step 4:

Use the points to graph the function.

Plot the graph of the function