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Chapter 6: Q. 30 (page 419)

Graph each function. Be sure to label key points and show at least two cycles. Use the graph to determine the domain and the range of each function.

y=12csc2x

Short Answer

Expert verified

The graph is

Domain is x|x鈮�k蟺2,kisaninteger

Range is(-鈭�,-12]鈭�[12,鈭�)

Step by step solution

01

Step 1. Given information

We have been given the function asy=12csc2x

02

Step 2. Draw the graph of the function.

The graph is

03

Step 3. Find the domain and range of the given function.

By looking at the graph,

Domain is x|x鈮�k蟺2,kisaninteger

Range is(-鈭�,-12]鈭�[12,鈭�)

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