Reciprocal Functions and Asymptotes

This video tutorial covers how to graph reciprocal linear and quadratic functions. It begins with an introduction to the concepts, followed by detailed steps for graphing reciprocal linear functions, including identifying asymptotes and plotting points. The tutorial then moves on to reciprocal quadratic functions, providing examples and explaining the different scenarios based on the number of zeros in the quadratic function. The video emphasizes understanding the properties of the original functions to accurately graph their reciprocals.

What is a key characteristic of a reciprocal linear function?

• It has a vertical asymptote at y = 0.

• It has a horizontal asymptote at y = 0.

• It has no asymptotes.

• It has a vertical asymptote at x = 0.

Where can you find the practice problems for this lesson?

• In the video description.

• On Jensen math dot CA.

• In the course textbook.

• In the lesson notes.

What is the x-intercept of the function y = 2x - 1?

• (2, 0)

• (0.5, 0)

• (1, 0)

• (0, 1)

What happens to the reciprocal function when the original function is zero?

• The reciprocal function is negative.

• The reciprocal function is also zero.

• The reciprocal function is undefined.

• The reciprocal function is one.

How many vertical asymptotes does a reciprocal quadratic function have if the quadratic has two zeros?

• Two

• One

• Three

• None

What is the effect of having a constant other than one in the numerator of a reciprocal quadratic function?

• It adds a vertical asymptote.

• It stretches the graph vertically.

• It removes the horizontal asymptote.

• It shifts the graph horizontally.