Graphing the Cotangent Function with a Change in Period

Graphing the Cotangent Function with a Change in Period

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to graph the cotangent function, starting with identifying key values such as the period, which is calculated by dividing π by the coefficient of the variable. The tutorial covers finding critical points, X intercepts, and asymptotes, and determining the initial graph. It also discusses transformations and how they affect the graph. The cotangent graph is shown to rise left and fall right, and the tutorial concludes with a sketch of three periods of the cotangent function.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What transformations can affect the cotangent graph, and how do they alter its appearance?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the general shape and behavior of the cotangent function as it approaches its asymptotes.

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