Question

what is the approximate period of the graph below? (the graph is a coordinate system with a red curve, and the x-axis is labeled from -3 to 9, y-axis from -3 to 3. the multiple-choice options are 2, 13, 6, 3.25)

Explanation:

Step1: Identify a repeating peak

Take the peak near $x=0$ and the next matching peak near $x=6$.

Step2: Calculate the period

Subtract the x-values of the two peaks.
$\text{Period} = 6 - 0 = 6$

Answer:

6 (Option C: 6)