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avatar+1207 

Let

\(f(x) = \frac{3x - 7}{x + 1}.\)
Find the range of f. Give your answer as an interval.

 Aug 7, 2019
 #1
avatar+129852 
+1

f(x)   =  3x - 7

            ______

              x +  1

 

We have  vertical  asymptote at  x = -1      and a horizontal asymptote at  y =  3

 

So......when x  < -1      y  is  >  3

And when  x  > -1       y is < 3

 

So....the range  is   ( -infinity , 3)  U (3 , inf)

 

Here is a graph : https://www.desmos.com/calculator/r9bpootve2

 

 

cool cool cool 

 Aug 7, 2019
 #2
avatar+1207 
0

Thanks again!

 Aug 8, 2019

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