What is the reciprocal function

The video tutorial introduces the reciprocal function, starting with the identity function as a foundation. It explains the concept of reciprocals using fractions and demonstrates how to graph the reciprocal function using a table of values. The tutorial further analyzes the graph, highlighting the presence of vertical and horizontal asymptotes, and describes the graph's shape as a hyperbola. The video concludes with a basic introduction to the reciprocal function and its graph.

What is the identity function's relationship between x and y?

• y is equal to x

• y is the square of x

• y is always 0

• y is the reciprocal of x

What is the reciprocal of the fraction 1/3?

• 3/1

• 1/3

• 3/3

• 1/1

How is the reciprocal function defined?

• y = 1/x

• y = x + 1

• y = x^2

• y = x - 1

What happens to the reciprocal function at x = 0?

• It equals infinity

• It equals 1

• It is undefined

• It equals 0

What is the value of y when x = 2 in the reciprocal function y = 1/x?

• 0

• 1/2

• 1

• 2

What type of asymptote is present at x = 0 for the reciprocal function?

• None

• Vertical

• Diagonal

• Horizontal

What is the shape of the graph of the reciprocal function?

• Parabola

• Circle

• Hyperbola

• Line