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Graphing Inverses

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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Graphing Inverses

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  1. Graphing Inverses

  2. Objectives • I can graph the inverse of a relation from another graph

  3. 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.

  4. NOTATION FOR THE INVERSE FUNCTION We use the notation for the inverse of f(x). NOTE: does NOT mean

  5. GRAPHING ANINVERSE FUNCTION 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.

  6. What steps can you come up with to accurately graph the inverse? 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.

  7. GRAPH the inverse

  8. Example: Find the graph of the inverse relation geometrically from the graph of f(x) = y 2 The ordered pairs of f are given by the equation . x -2 2 The ordered pairs of the inverse are given by . -2 The graphs of a relation and its inverse are reflections in the line y = x. Example: Ordered Pairs y = x

  9. Homework • WS 3-1

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