**Graphs of Inverse Trigonometric Functions**

Including domain and range

**9.1** The graph of a function *f*(*x*) passes through points (–2,6), (0,3), and (4,–9) and has inverse function *f*^{–1}(*x*). Identify three points through which the graph of *f*^{–1}(*x*) passes.

If *f*(*x*) passes through points (–2,6), (0,3), and (4,–9), then –2, 0, and 4 are members of the domain and 6, 3, and –9 are members of the range. Specifically, *f*(–2) = 6, *f*(0) = 3, and *f*(4) = –9. To identify points on the inverse function *f*^{–1}(*x*), reverse the numbers in the ordered pair.

If a number is a member of the domain, you can plug it into the function and get some real number output. Members of the range are outputs of the function.

Thus, *f*^{–1}(*x*) passes through points (6,–2), (3,0), and (–9,4). ...

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