Graphing the Sine Function Concepts

The video tutorial explains how to graph a sine function, starting with an introduction to the sine function and its properties. It covers the steps to graph the function on a Cartesian plane, including determining the amplitude and period. The tutorial also explains how to find the coordinates needed for plotting the graph and concludes with a demonstration of plotting the sine graph. The video ends with a preview of the next tutorial on graphing a different sine function.

What is the basic function discussed in the video?

• Cosine

• Tangent

• Sine

• Cosecant

What is the first step in graphing a sine function?

• Determine the amplitude

• Find the range

• Set up the Cartesian plane

• Calculate the period

What is the amplitude of the sine function discussed?

• 2

• 0

• 1

• -1

How is the amplitude determined for a sine function?

• By the coefficient of x

• By the number in front of sine

• By the period

• By the range

What formula is used to find the period of a sine function?

• 2π/b

• π/2

• b/2π

• 2b/π

What is the period of the sine function in the video?

• π

• π/2

• 4π

• 2π

How many key points are used to graph one period of the sine function?

• 4

• 5

• 3

• 2

What is the first key point on the sine graph?

• (0, 0)

• (π, 0)

• (2π, 0)

• (π/2, 1)

What is the y-coordinate when x is π/2?

• 0

• 1

• -1

• 2

What is the y-coordinate when x is π?

• 2

• -1

• 1

• 0