Sketching the Curve (1/x2) - 1

  • Thread starter Thread starter lionely
  • Start date Start date
  • Tags Tags
    Curve
Click For Summary
The discussion focuses on sketching the curve of the function (1/x^2) - 1. The user acknowledges the y-axis as an asymptote and seeks clarification on specific points, particularly at x=1 and x=-1. They suggest generating additional points at x=2, 3, and 4 to better understand the graph's behavior. The user realizes that part of the curve lies below the x-axis. Overall, the conversation highlights the challenges of graphing this particular function.
lionely
Messages
574
Reaction score
2
I need to sketch the curve (1/x2) - 1

Is this correct?

2ilmse1.png



Excuse the untidiness this was drawn in paint. :S

I know the y-axis is an asymptote to the function, I haven't sketch a graph like this before so I'm kind of confused.
 
Physics news on Phys.org
when x=1 then what is y? do you see that point on your graph?

similarly for x=-1

try generating several points at x=2,3,4... and plot them
 
oh.. sigh I see a part if below the x-axis now thanks.
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 0 ·
Replies
0
Views
670
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 0 ·
Replies
0
Views
696
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 13 ·
Replies
13
Views
1K