Final answer:
To sketch the graph of y = 2tan(πx/4), find key points within one period and draw a smooth curve passing through them.
Step-by-step explanation:
The equation given is y = 2tan(πx/4). To sketch the graph, we can start by finding some key points. The period of the tangent function is π, which means it repeats every π units. We can choose four points within one period to plot on the graph: (-π/8, -2), (0, 0), (π/8, 2), and (π/4, undefined).
Next, we can draw a smooth curve passing through these points, keeping in mind that the function is undefined at odd multiples of π/4. We repeat this pattern for each subsequent period to complete the graph.