McGraw-Hill's SAT Subject Test Math Level 2 by John Diehl & Christine E. Joyce

Author:John Diehl & Christine E. Joyce
Language: eng
Format: epub
Publisher: McGraw-Hill Education
Published: 2012-09-14T16:00:00+00:00

*PERIODIC FUNCTIONS

A function is periodic if for every x in its domain there is some constant c such that:

The smallest value of c is the period of the function. The sine and cosine functions, for example, are periodic and have a period of 2π.

EXAMPLE:

Part of the graph of a function f having period 2 is shown below. Sketch the graph of f on the interval .

The given part of the graph represents one period. Repeat the graph to the right and left until you reach 4 and –4, respectively. The resulting graph is:

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