Unit 7 & 8 Study Guide

Front

What is the equation of a cosine function?

Back

An equation of a cosine function can be expressed as y = A * cos(Bx), where A is the amplitude and B affects the period.

Front

How do you calculate the mean of a set of numbers?

Back

To find the mean, add all the numbers together and then divide by how many numbers are in the set.

Front

What is the mean of the following numbers: 4, 9, 7, 10, 5?

Back

The mean is 7.

Front

What is the mean of the following numbers: 81, 69, 72, 80, 67, 62, 78, 74, 71, 86?

Back

The mean is 74.

Front

What does the amplitude of a sine or cosine function represent?

Back

The amplitude represents the maximum distance from the midline of the graph to its peak or trough.

Front

What is the period of a sine or cosine function?

Back

The period is the distance along the x-axis for one complete cycle of the wave.

Front

What is the formula for the period of a sine or cosine function?

Back

The period can be calculated using the formula: Period = \frac{2\pi}{B}, where B is the coefficient of x in the function.

Front

What is the difference between sine and cosine functions?

Back

Sine functions start at the midline and go up, while cosine functions start at the maximum value.

Front

What is the range of a sine or cosine function?

Back

The range of both sine and cosine functions is from -1 to 1.

Front

What is the effect of changing the amplitude in a sine or cosine function?

Back

Changing the amplitude stretches or compresses the graph vertically.