Inverses Graph {(1,2), (2,-4), (5,2), (2, 0), (-1, 4)} ? {(2, 1), (-4, 2), (2, 5), (0,2), (4, -1)} These graphs are called inverses of each other. Graph.

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Presentation transcript:

Inverses Graph {(1,2), (2,-4), (5,2), (2, 0), (-1, 4)} ? {(2, 1), (-4, 2), (2, 5), (0,2), (4, -1)} These graphs are called inverses of each other. Graph the points as (y, x)

Example 1: A)Graph the inverse of the function shown in a different color B) Graph the line y = x in a different color. C) In the inverse a function? Explain xy -1 Inverse xy Function It may help to make tables of values. Yes, it passes the vertical line test. D) What is the relationship of the 2 graphs with respect to y = x ? The are reflections of each other across the line.

A)Graph D) Write an equation for the inverse. B) Graph its inverse in a different color. C) Is the inverse a function? Explain. Example 2: Yes, it passes the vertical line test.

A)Graph B) Graph its inverse in a different color. C) Is the inverse a function? Explain. Example 3: No, it does not pass the vertical line test.

A)Graph B) Graph its inverse in a different color. C) Is the inverse a function? Explain. Example 4: D) Write an equation for the inverse.