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avatar+1275 

What is the range of the function?

f(x)=3/x+4 − 2

Enter your answer, in interval notation, by filling in the boxes. Use the drop-down menu at the upper left of keyboard options as necessary.

 

I think it is (-inifnity,-2)U (-2,postitive infinity)

 Sep 6, 2019
edited by jjennylove  Sep 6, 2019
edited by jjennylove  Sep 6, 2019
 #1
avatar+103858 
+2

f(x)   =   3/ [x + 4]  - 2  =    [  3 - 2x - 8 ] /  [x +4] =  [ -2x - 5] / [ x + 4]

 

We have a vertical  asymptote at   x  = -4

 

The horizontal asymptote  is given by the ratio of the coefficients on the x variable in numerator/denominator

 

So...it is  →  y =  -2 / 1   →   y  = -2 

 

So.....your answer is correct, Jenny   !!!!

 

 

cool cool cool

 Sep 6, 2019
 #3
avatar+1275 
+1

Whoo! Thank you Cphill for the help!

jjennylove  Sep 6, 2019
 #2
avatar+103858 
+2

P.S. -   here's the graph

 

https://www.desmos.com/calculator/lewglumvpw

 

 

cool cool cool

 Sep 6, 2019
 #4
avatar+1275 
+1

Awesome, ill check it out.

jjennylove  Sep 6, 2019

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