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avatar+80 

Find the range of the function

 

f(x)= (x^2+14x+9)/(x^2+2x+3)


as x varies over all real numbers.

 Aug 2, 2020
 #1
avatar+27847 
+1

Here is a graphical solution:

 

https://www.desmos.com/calculator/a1zcrvy8vu

 Aug 2, 2020
 #2
avatar+80 
0

I need to explain the answer so how do I find the range looking at the graph

toodlestraws  Aug 2, 2020
 #3
avatar+111172 
+2

The range is the set of all possible y values.

Melody  Aug 2, 2020
 #4
avatar+80 
+1

So the range is -5<=y<=4?

toodlestraws  Aug 2, 2020
 #5
avatar+111172 
+2

That is what it appears to be from the graph.

 

Of course it could be  4.99 or 4.001 rather than 4 but    [-5,4]  is close and probably correct.

Melody  Aug 3, 2020

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