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What are the key characteristics of the graph of f(x)=cot x? Select all correct statements.

 

  • The range of the function is (−∞, −1]∪[1, ∞) .

 

  • The y-intercept is (0,1).

 

  • The x-intercepts occur every π, with one x-intercept at (π/2,0).

 

  • Asymptotes occurs every π, beginning at x = 0.
 Feb 20, 2020
 #1
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Let's look at the graph  :   https://www.desmos.com/calculator/amo6qtaser

 

The first statement is false....on its domain, the range is  (-inf, inf)

 

The second is also false.....the cotangent  doesn't intersect the y axis

 

The third is true  ...

 

And  the last is also true

 

 

 

cool cool cool

 Feb 20, 2020

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