Amplitude, Period, Midline, and frequency

Front

What is the definition of amplitude in a graph?

Back

Amplitude is the distance from the midline to the maximum or minimum value of the function.

Front

How do you calculate the amplitude of a periodic function?

Back

The amplitude is calculated as half the distance between the maximum and minimum values of the function.

Front

What is the period of a function?

Back

The period is the length of one complete cycle of the function.

Front

How is the period related to frequency?

Back

Frequency is the reciprocal of the period; frequency = 1/period.

Front

What is the midline of a periodic function?

Back

The midline is a horizontal line that represents the average value of the maximum and minimum values of the function.

Front

How do you find the equation of the midline for a sinusoidal function?

Back

The equation of the midline can be found by averaging the maximum and minimum values of the function.

Front

What is the relationship between amplitude and the vertical stretch of a function?

Back

The amplitude indicates how much the graph is stretched vertically from the midline.

Front

What does a higher amplitude indicate about a graph?

Back

A higher amplitude indicates that the graph has greater vertical distance from the midline to the maximum or minimum.

Front

What is the effect of changing the amplitude on the graph of a function?

Back

Changing the amplitude will stretch or compress the graph vertically.

Front

What is the significance of the midline in real-world applications?

Back

The midline can represent a baseline or equilibrium position in various real-world contexts, such as sound waves or tides.