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Chapter 6: Q. 35 (page 419)

Use the graph of the function to determine the domain and the range of function

y=sec(2蟺3x)+2

Short Answer

Expert verified

graph of the function is

domain is {x|x鈮�卤3k4}

range is(-鈭�,1}鈭�{3,鈭�)

Step by step solution

01

Step 1. The given information is

a functiony=sec(2蟺3x)+2

02

Step 2. Making the parent graph we get,

03

Step 3. The graph of the given equation after stretching we get is,

04

Step 4. Domain and range

The graph of function state that the

The domain of the function is

the domain is {x|x鈮�卤3k4}, where k is is an odd integer

and the range is(-鈭�,1}鈭�{3,鈭�)

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