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as \(|x|\to\infty\) means \(x\to \infty\), \(x\to -\infty\)
so we're given that the graph approaches \(2\) as you go left and right extremes on x axis
I wasn't sure what the arrow meant. I searched but got conflicting answers. Most said that it was interchangeable with the equals sign though. Is this correct?
good question, \(\to\) is read as "tends to" or "approaches"
Okay, I think I got it, @ganeshie8. If I am right, the answer should be graph D, correct? Or am I way off?
Is the function approaching "2" as you walk right or left extremes on x axis ? |dw:1435298726902:dw|
I don't think I have a great understanding on what extremes are, because I did think the function was approaching 2..
whats the approximate value of function in graph D at x=10 ?
Oh! approx. 1.2ish, not 2
can you guess the apprximate value at x=1000000 ?
it seems the graph is approaching x axis yes ?
so it's like an asymptote; always getting near the x-axis, but not quite touching it?
the value at 1000000 would be very minimal.
yes it is almost 0, and the more extreme right you go, the more closer the function approaches 0
so then that narrows it down to A and B
No, just B
In B, what does the graph approach to as you go extreme right ?
Oh it is increasing
looks the graph is approaching "4" as you go extreme right yes ?
I just looked at what was closer to it, distance wise near the beginning of the curve. It would get farther away from 2 as you go more extreme right
look at option C
Oh, and even A is curving slightly upwards.
Wow. Thanks for tolerating me, this must have been frustrating. I'll write a testimonial for your troubles
glad you figured out the answer finally! but trust me, it is not frustrating at all when somebody engages with you completely, asks relevant questions and tries hard to understand the concept.