Pre-Calc Exam Notes 112

Pre-Calc Exam Notes 112 - minimum. It just shifts the...

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112 Chapter 5 Graphing and Inverse Functions §5.2 Example 5.6 Find the amplitude and period of y = 3 cos 2 x . Solution: The amplitude is | 3 |= 3 and the period is 2 π 2 = π . The graph is shown in Figure 5.2.4: x y 0 3 2 1 1 2 3 π 6 π 3 π 2 2 π 3 5 π 6 π 7 π 6 4 π 3 3 π 2 5 π 3 11 π 6 2 π 6 3 3 Figure 5.2.4 y = 3 cos 2 x Example 5.7 Find the amplitude and period of y = 2 3 sin 2 π 3 x . Solution: The amplitude of 3 sin 2 π 3 x is |− 3 | = 3. Adding 2 to that function to get the function y = 2 3 sin 2 π 3 x does not change the amplitude, even though it does change the maximum and
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Unformatted text preview: minimum. It just shifts the entire graph upward by 2. So in this case, we have Amplitude = max − min 2 = 5 − ( − 1) 2 = 6 2 = 3 . The period is 2 π 2 π 3 = 3. The graph is shown in Figure 5.2.5: x y − 1 1 2 3 4 5 3 4 3 2 9 4 3 6 3 3 Figure 5.2.5 y = 2 − 3 sin 2 π 3 x...
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This note was uploaded on 01/21/2012 for the course MAC 1130 taught by Professor Dr.cheun during the Fall '11 term at FSU.

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