Mathematics for IGCSE & O level - Graphs Of Functions (Section 2 - No. 7)

Which of the following are characteristics of the graph of the function y = 1/x?
It has a vertical asymptote at x = 0.
It has a horizontal asymptote at y = 0.
It intersects the x-axis at (1,0) and (-1,0).
It is symmetrical about the origin.

Explanation

y=1/x is a hyperbola with asymptotes at x=0 and y=0, and is symmetric about the origin.

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