Find the Inverse and Graph the Functions

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Find the Inverse and Graph the Functions

Find an Inverse Relation The ordered pairs of a relation are… {(1, 3), (6, 3), (6, 0), (1, 0)} Find the inverse of this relation. To find the inverse of this relation, reverse the coordinates of the ordered pairs. The inverse of the relation is {(3, 1), (3, 6), (0, 6), (0, 1)}. Example 1

GEOMETRY The ordered pairs of the relation {(–3, 4), (–1, 5), (2, 3), (1, 1), (–2, 1)} are the coordinates of the vertices of a pentagon. What is the inverse of this relation? A. cannot be determined B. {(–3, 4), (–1, 5), (2, 3), (1, –2)} C. {(–3, 4), (–1, 5), (2, 3), (1, 1), (–2, 1)} D. {(4, –3), (5, –1), (3, 2), (1, 1), (1, –2)} Example 1

Find the inverse of . Then graph the function and its inverse. Find and Graph an Inverse Find the inverse of . Then graph the function and its inverse. Step 2 Use your calculator to make a table of each function. Step 1 Find the inverse Example 2

Graph both functions on the coordinate plane. Find and Graph an Inverse The inverse of is Graph both functions on the coordinate plane. The graph of is the reflection of the graph of over the line Example 2

Graph the function and its inverse. B. C. D. Example 2