Problem:
The graph of the function is shown below. How many solutions does the equation have?
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Answer Choices:
A.
B.
C.
D.
E.
Solution:
The equation implies that or . The horizontal line intersects the graph of twice, so has two solutions. Similarly, has 4 solutions, so there are 6 solutions of .
The problems on this page are the property of the MAA's American Mathematics Competitions