Understanding Periodic Functions and Amplitude

The video tutorial explains periodic functions, highlighting their repeating nature over regular intervals. It describes how to identify the period on a graph, emphasizing that the period remains consistent across the entire graph. The tutorial also introduces the concept of amplitude, explaining it as the height of a wave measured from the middle to the top or bottom of the graph.

What is the defining characteristic of a periodic function?

• It repeats its values at regular intervals.

• It has a constant slope.

• It is always increasing.

• It has a maximum and minimum point.

How can you identify a period on a graph?

• By measuring the distance between two peaks.

• By finding the highest point on the graph.

• By calculating the slope of the graph.

• By tracing from one point to another where the graph repeats.

Does the period of a periodic function change across the graph?

• Yes, it changes depending on the section of the graph.

• It changes only at the troughs.

• It changes only at the peaks.

• No, it remains the same across the entire graph.

What does it mean when we say a periodic function extends infinitely?

• The function has no maximum value.

• The function continues to repeat its pattern indefinitely.

• The function has no minimum value.

• The function stops after a certain point.

What is the amplitude of a wave?

• The distance from the bottom to the top of the graph.

• The height from the middle to the top or bottom of the wave.

• The width of the wave.

• The length of one cycle of the wave.

Where do you measure the amplitude from on a graph?

• From one peak to the next.

• From the very bottom to the very top.

• From the start to the end of the graph.

• From the middle to the top or bottom.

How is the amplitude related to the height of a function?

• Amplitude is unrelated to the height of the function.

• Amplitude is the height from the middle to the top or bottom.

• Amplitude is the total height of the function.

• Amplitude is half the height of the function.

What does the period of a periodic function represent?

• The time it takes to complete one cycle.

• The width of the wave.

• The height of the wave.

• The distance between two peaks.

Which of the following is true about the period and amplitude of a periodic function?

• The period is the length of one cycle, and the amplitude is the height.

• They are unrelated.

• The amplitude is the length of one cycle, and the period is the height.

• They are always equal.

What is the relationship between the period and the cycle of a periodic graph?

• The period is twice the cycle.

• The period is unrelated to the cycle.

• The period is half the cycle.

• The period is the length of one cycle.