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| PAGE: 421 | SET: Exercises | PROBLEM: 42 |

The function is
.
Horizontal line test:
A function
has an inverse
if and only if no horizontal line intersects its graph of the function in at most one point.
Graph :
Graph the function
.
Draw the horizontal line.
.gif)
Observe the graph:
The horizontal line
passes through the graph more than one point.
Therefore the inverse of the function does not exist.
No, the inverse of the function does not exist.

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