The graph of the inverse of a function is its reflection across the line y = x
Please find attached the required graph created with MS Excel
The graph of the inverse of a function is reflected over the line y = x
In order to graph the function f⁻¹, either the line y = x is drawn and the points of f⁻¹ are traced by taking equal distance from the line y = x, or the x, and y-coordinates of the f are reversed to get the coordinates of f⁻¹ as follows;
The reflection of the point (x, y) across the line y = x is (y, x)
The vertices of the graph of the function f, staring from the top are;
(5, 6), (3, -3), (-3, -5)
Therefore, we have;
The reflection of the point (5, 6) across the line y = x is (6, 5)
The reflection of the point (3, -3) across the line y = x is (-3, 3)
The reflection of the point (-3, -5) across the line y = x is (-5, -3)
The graph of the function f⁻¹ can be plotted using MS Excel, and the above values, as shown in the attached diagram
Learn more about graphing the inverse of a function here:
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