Reciprocal Graphs Flashcards

A graph of the function y = 1/x, which has two branches and asymptotes at x = 0 and y = 0.

y = 1/x, where x ≠ 0.

The graph has vertical asymptote at x = 0 and horizontal asymptote at y = 0.

The graph has two branches: one in the first quadrant and one in the third quadrant.

The graph is reflected in the x-axis compared to y = 1/x, with branches in the second and fourth quadrants.

Adding or subtracting a constant (e.g., y = 1/x + c) shifts the graph vertically.

The graph is a reciprocal graph where k determines the steepness and direction of the branches.

For x = 1, y = 1; for x = -1, y = -1; for x = 2, y = 0.5; for x = -2, y = -0.5.

All real numbers except x = 0 (x ≠ 0).

All real numbers except y = 0 (y ≠ 0).