Create a table of values for the function and use the result to determine whether f (x) approaches ∞ or −∞ as x approaches −3 from the left and from the right. Use a graphing utility to graph the function to confirm your answer. f(x) = cot x/3

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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Create a table of values for the function and use the result to determine whether f (x) approaches ∞ or −∞ as x approaches −3 from the left and from the right. Use a graphing utility to graph the function to confirm your answer. f(x) = cot x/3

Expert Solution
Step 1

Given:

                   f(x)=cot x3

 

Tabulating the values for the function f(x):

x f(x)
0
π4 13
π6 0.577
π2 0

 

                   

       

                    

                

                    

                   

             

 

 

                   

Step 2

Sketching the graph for the given function:

 

Calculus homework question answer, step 2, image 1

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