Amplitude Effects on Sine Functions

The video tutorial explores sine functions, focusing on how changes in amplitude affect their graphs. It begins with a basic sine function with an amplitude of one and progresses to functions with different amplitudes, illustrating vertical stretches and compressions. The tutorial includes sketching sine functions, formulating equations, and solving a test question. It concludes with an exercise on determining the domain and range of sine functions.

What is the amplitude of the basic sine function?

• 3

• 2

• 1

• 0

What is the time period of a sine function in radians?

• 4π

• 3π

• 2π

• π

What is the time period of a sine function in degrees?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

How does the graph of a sine function change when the amplitude is increased?

• It becomes horizontally stretched.

• It becomes vertically compressed.

• It becomes horizontally compressed.

• It becomes vertically stretched.

If the amplitude of a sine function is 2, what is the maximum value of the function?

• 4

• 3

• 2

• 1

What happens to the range of a sine function when the amplitude is increased?

• The range becomes negative.

• The range increases.

• The range decreases.

• The range remains the same.

What is the effect of a vertical stretch on a sine function?

• Increases the amplitude

• Decreases the time period

• Increases the time period

• Decreases the amplitude

What is the maximum value of a sine function with an amplitude of 3?

• 1

• 2

• 3

• 4

What is the effect on the sine wave when the amplitude is less than one?

• The wave is vertically stretched.

• The wave is horizontally compressed.

• The wave is vertically compressed.

• The wave is horizontally stretched.

If the amplitude of a sine function is 0.5, what is the maximum value of the function?

• 1

• 2

• 0.5

• 1.5