[SOLVED] Using complete sentences, explain the key features of the graph of the tangent function. (algebra 2)

Using complete sentences, explain the key features of the graph of the tangent function.

(algebra 2)

Answer:

The tangent function is periodic. It has a period of pi. The function from – pi/2 to pi/2 repeats itself again and again.

The tangent function is an odd function. That means it is symmetric to the origin. In algebraic terms this means that tan(-x) = – tan(x).

It forms an S shaped curve that goes through the origin. The function has discontinuities at multiples of pi/2. It has vertical asymptotes there. From the left it approaches positive infinity. From the right it approaches negative infinity.

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