👉 Learn all about reciprocal functions. A reciprocal function is a function of the form f(x) = 1/x. The graph of a reciprocal function is composed of the vertical and the horizontal asymptotes and the points where the curve turns. For the parent function of the reciprocal function, f(x) = 1/x, the y-axis is the vertical asymptote while the x-axis is the horizontal asymptote. The points that the curve turn are the points (1, 1) and (-1, -1).
The transformed form of the reciprocal function is of the form f(x) = a/(x - h) + k, where a is the vertical stretch, h is the horizontal shift and k is the vertical shift. The line x = h is the vertical asymptote and the line y = k is the horizontal asymptote. To graph the reciprocal function, we form the table of values and plot accordingly.
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