anonymous
  • anonymous
For a function p(x) , as |x| → ∞ then p(x) → 2. Which of the following graphs could be p(x)?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
ganeshie8
  • ganeshie8
as \(|x|\to\infty\) means \(x\to \infty\), \(x\to -\infty\)
ganeshie8
  • ganeshie8
so we're given that the graph approaches \(2\) as you go left and right extremes on x axis

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anonymous
  • anonymous
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?
ganeshie8
  • ganeshie8
good question, \(\to\) is read as "tends to" or "approaches"
anonymous
  • anonymous
Okay, I think I got it, @ganeshie8. If I am right, the answer should be graph D, correct? Or am I way off?
ganeshie8
  • ganeshie8
Is the function approaching "2" as you walk right or left extremes on x axis ? |dw:1435298726902:dw|
anonymous
  • anonymous
I don't think I have a great understanding on what extremes are, because I did think the function was approaching 2..
anonymous
  • anonymous
@ganeshie8
ganeshie8
  • ganeshie8
whats the approximate value of function in graph D at x=10 ?
anonymous
  • anonymous
Oh! approx. 1.2ish, not 2
ganeshie8
  • ganeshie8
can you guess the apprximate value at x=1000000 ?
ganeshie8
  • ganeshie8
it seems the graph is approaching x axis yes ?
anonymous
  • anonymous
so it's like an asymptote; always getting near the x-axis, but not quite touching it?
anonymous
  • anonymous
the value at 1000000 would be very minimal.
ganeshie8
  • ganeshie8
yes it is almost 0, and the more extreme right you go, the more closer the function approaches 0
anonymous
  • anonymous
okay..
anonymous
  • anonymous
so then that narrows it down to A and B
anonymous
  • anonymous
No, just B
ganeshie8
  • ganeshie8
In B, what does the graph approach to as you go extreme right ?
anonymous
  • anonymous
Oh it is increasing
ganeshie8
  • ganeshie8
|dw:1435301616932:dw|
ganeshie8
  • ganeshie8
looks the graph is approaching "4" as you go extreme right yes ?
anonymous
  • anonymous
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
anonymous
  • anonymous
yes
ganeshie8
  • ganeshie8
look at option C
anonymous
  • anonymous
Oh, and even A is curving slightly upwards.
ganeshie8
  • ganeshie8
|dw:1435301725529:dw|
anonymous
  • anonymous
Wow. Thanks for tolerating me, this must have been frustrating. I'll write a testimonial for your troubles
ganeshie8
  • ganeshie8
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.

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