Math  /  Trigonometry

QuestionDetermine the amplitude of the periodic graph. * 1 po
Determine the period of the periodic graph. * 1 point

Studdy Solution
The period of a periodic graph is the length of one complete cycle of the graph.
Observe the repeating pattern on the x-axis. The graph completes one full V-shaped cycle from one peak to the next.
Identify the x-values where the pattern repeats. Assume the pattern starts at x=2 x = -2 and repeats at x=2 x = 2 .
Calculate the period:
Period=xend of cyclexstart of cycle=2(2)=4 \text{Period} = x_{\text{end of cycle}} - x_{\text{start of cycle}} = 2 - (-2) = 4
The amplitude of the periodic graph is 2 2 , and the period of the periodic graph is 4 4 .

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