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Graphing Inverses

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# Graphing Inverses - PowerPoint PPT Presentation

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

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.

NOTATION FOR THE INVERSE FUNCTION

We use the notation

for the inverse of f(x).

NOTE:

does NOT mean

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.

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.

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

Homework
• WS 3-1