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Sketch the graph y = 2 tan( πx/4).

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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.

User JamesHutchison
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