Which graph represents the function y = 1/x?

The problem asks to identify the graph of the function y = 1/x among the given options.

• The function y = 1/x is a reciprocal function.
• Its graph is a hyperbola with two branches.
• The graph lies in the first and third quadrants.
• It has a vertical asymptote at x = 0 and a horizontal asymptote at y = 0.
• Observing the provided graphs:
  • The top-left graph is a straight line with a positive slope passing through the origin. This represents a linear function like y = x.
  • The top-right graph is a straight line with a negative slope passing through the y-axis at a positive value. This represents a linear function like y = -x + b.
  • The bottom-left graph is a hyperbola with branches in the first and third quadrants, with asymptotes along the x and y axes. This matches the characteristics of y = 1/x.
  • The bottom-right graph is a hyperbola with branches in the second and fourth quadrants. This might represent a function like y = -1/x.

Ответ: График Б