Graphing and Analyzing y = 1/x

In this video, Dr. B demonstrates how to graph the equation y = 1/x by starting with a completed graph and working backwards. The video covers plotting points for positive, fractional, and negative x values, showing how each affects the y value. The graph of y = 1/x is explored in detail, including its symmetry and behavior as x approaches zero. The tutorial concludes with a summary of the graphing process.

What is the initial approach taken in the video to graph the equation y = 1/x?

• Using a completed graph and working backwards

• Starting with a blank graph and plotting points

• Drawing a straight line

• Using a graphing calculator

If x = 2, what is the value of y in the equation y = 1/x?

• 1/2

• 2

• 0

• 1

What is the y value when x = 1/2 in the equation y = 1/x?

• 2

• 1

• 1/2

• 0

How does the graph behave when x is a negative value?

• It shifts upwards

• It shifts downwards

• It becomes a mirror image of the positive side

• It remains the same as positive x values

What is the y value when x = -1 in the equation y = 1/x?

• 2

• 0

• -1

• 1

What happens to the graph when x = -2?

• y = -2

• y = -1/2

• y = 1/2

• y = 2

What is the general shape of the graph for y = 1/x?

• A parabola

• A circle

• A hyperbola

• A straight line