+564 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
--------------------------
Also when they say "f is even" , is it the same as saying f(x) = x² ?
+118609 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. 
+118609 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.
+564 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
