To find the range of the function in the given graph, we should focus on identifying the minimum and maximum values that the function achieves along the y-axis.

Analysis:

The graph resembles a periodic function (like a sine or cosine wave) oscillating between a highest point (maximum) and a lowest point (minimum). Visually examining the graph:

• The highest y-value reached by the function is 5.
• The lowest y-value reached by the function is -5.

Conclusion:

Therefore, the range of the function is all values from -5 to 5, inclusive. This corresponds to the answer:

• A. -5 ≤ y ≤ 5

Would you like any details or have any other questions? Here are five follow-up questions to consider:

1. What does the range of a function represent in mathematical terms?
2. How would the range change if the graph's highest or lowest points were different?
3. Can a range be expressed using interval notation instead of inequalities?
4. What is the significance of the periodicity of the function in this context?
5. How can you identify the amplitude of this function from the graph?

Tip: When examining a graph, always identify the highest and lowest points (maxima and minima) along the y-axis to determine the range accurately.