Graphing Inverses. Objectives. I can graph the inverse of a relation from another graph. CONCEPT OF AN INVERSE FUNCTION. Idea : An inverse switches the Input and Output of a relation to form the new inverse Note that this really says that the roles of x and y are reversed.
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Idea: An inverse switches the Input and Output of a relation to form the new inverse
Note that this really says that the roles of x and y are reversed.
We use the notation
for the inverse of f(x).
does NOT mean
Given the graph of a relation, the graph of its inverse is obtained by switching x- and y-coordinates.
The resulting graph is reflected about the line y = x.
1) Pick “critical points” on the given graph.
2) Switch the x and y values.
3) Sketch the new graph.
4) Fold your paper to be sure you are correct.