Question

which term gives the horizontal length of one cycle of a periodic function?
○ amplitude
○ period
○ frequency
○ phase shift

Explanation:

To determine the term for the horizontal length of one cycle of a periodic function, we analyze each option:

• Amplitude: Measures the vertical distance (height) from the midline to the peak, not horizontal length.
• Period: Defined as the horizontal length of one complete cycle of a periodic function.
• Frequency: The number of cycles per unit time, related to period (frequency = 1/period) but not the length of a cycle.
• Phase Shift: A horizontal shift of the graph, not the length of a cycle.

Answer:

B. period (assuming the options are labeled A. amplitude, B. period, C. frequency, D. phase shift as per typical multiple - choice formatting for this question)