document.write( "Question 1035742: Which function has a period of 4?
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Algebra.Com's Answer #650387 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The period of a function is the number of units along the x-axis\r\n" );
document.write( "that span one complete cycle of the graph, where one complete\r\n" );
document.write( "cycle is either\r\n" );
document.write( "\"graph%2850%2C50%2C10%2C18%2C6%2C14%2C-4sin%28pi%2F4%2A%28x-10%29%29%2B10%29%29\" or \"graph%2850%2C50%2C10%2C18%2C6%2C14%2C4sin%28pi%2F4%2A%28x-10%29%29%2B10%29%29\" or \"graph%2850%2C50%2C10%2C18%2C6%2C14%2C4cos%28pi%2F4%2A%28x-10%29%29%2B10%29%29\" or \"graph%2850%2C50%2C10%2C18%2C6%2C14%2C-4cos%28pi%2F4%2A%28x-10%29%29%2B10%29%29\"\r\n" );
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document.write( "As you see in the first graph (A), the cycle \"graph%2850%2C50%2C10%2C18%2C6%2C14%2C-4sin%28pi%2F4%2A%28x-10%29%29%2B10%29%29\"begins at -4 on\r\n" );
document.write( "the x-axis and the cycle doesn't end until +4 on the x axis.\r\n" );
document.write( "From -4 to +4 on the x-axis is a span of (+4)-(-4) = +4+4 = 8\r\n" );
document.write( "units, so the period of the (A) graph is 8.\r\n" );
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document.write( "On graph (B), there are two complete cycles like this \"graph%2850%2C50%2C10%2C18%2C6%2C14%2C4sin%28pi%2F4%2A%28x-10%29%29%2B10%29%29\" \r\n" );
document.write( "over the same span on the x-axis. Therefore the number of units on the \r\n" );
document.write( "x-axis that is spanned by just one cycle \"graph%2850%2C50%2C10%2C18%2C6%2C14%2C4sin%28pi%2F4%2A%28x-10%29%29%2B10%29%29\" is 4.\r\n" );
document.write( "So the period of the (B) graph is 4.\r\n" );
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document.write( "Edwin
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