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The question goes as:

Sketch the graph of a function f that satisfies all of the following conditions:

limit of f(x) as x approaches 3 equals negative infinity

limit of f(x) as x approaches infinity equals 2

f(0)=0

f is even

 

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Also when they say "f is even" , is it the same as saying f(x) = x² ?

chilledz3non  Sep 18, 2014

Best Answer 

 #1
avatar+91471 
+10

Ane even function is one where f(x)=f(-x)

When you graph is it will be symmetrical about the y axis.  

 

$$f(x)=x^2$$     is an example of an even function because  f(x)=f(-x)    eg f(3)=9     f(-3)=9

There is more than one graph that will fit this description.

but here is one of them.

Perhaps one of the other mathematicians can tell me what the equation of  a graph like this might be?

I really have no idea.   

Melody  Sep 19, 2014
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3+0 Answers

 #1
avatar+91471 
+10
Best Answer

Ane even function is one where f(x)=f(-x)

When you graph is it will be symmetrical about the y axis.  

 

$$f(x)=x^2$$     is an example of an even function because  f(x)=f(-x)    eg f(3)=9     f(-3)=9

There is more than one graph that will fit this description.

but here is one of them.

Perhaps one of the other mathematicians can tell me what the equation of  a graph like this might be?

I really have no idea.   

Melody  Sep 19, 2014
 #2
avatar+564 
0

Thanks so much Melody. At first I just drew out a bunch of different graphs and got stuck at when I was going to graph the "even function". You're a life-saver haha xD

chilledz3non  Sep 19, 2014
 #3
avatar+91471 
+5

Thanks and you are welcome.  

Melody  Sep 19, 2014

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