+0  
 
+1
43
1
avatar+230 

f(x) = 1/x^4

 

Explain why the range of the function above is  (0,∞)

 Jan 29, 2019
 #1
avatar+96205 
+1

f(x)  = 1 / x^4

 

Notice that  the unction is not defined at x = 0

 

But as x gets very close to 0  .......the numerator of the fraction is much greater than the denominator......and the range goes to infinity

 

As x moves out both ways from 0 to some large neg / pos   x values....the denominator is much larger than the  numerator........and the y value of the function approaches 0  in both directions

 

So....the range is (0, inf )

 

 

cool cool cool

 Jan 29, 2019

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