anonymous
  • anonymous
How do you sketch the function in 1A-2 b) in Problem Set 1?
OCW Scholar - Single Variable Calculus
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
\[y = \frac{2}{(x - 1)^2}\]
anonymous
  • anonymous
The way I did it was using x= (-3,-2,-1,0,1,2,3) with y = 2/(x-1)². Then you get the coordinates of the function. Notice the vertical asymptote when dividing by 0.
anonymous
  • anonymous
I look at where the function is undefined and what happens when x gets large and negative or when x gets large and positive first: At x=1 there's a division by zero, so there's a big spike there. The expression is always positive (I just noticed this) so the spike goes up. When x is large, either negative or positive, the expression is close to zero. I can now look for where the function crosses the y axis (at 2) and the x axis (not at all?) Later in the course you'll learn other things to look for. If I don't think my graph is good enough at this point, I'll do what MrGonzales suggests to get a clearer picture.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
One method is as follows: Plot: \[y = f(x)\] In this case, \[f(x) = 1/x^2\] Now "translate" (move) the function you just plotted using: \[y - y_0 = a\times f(x - x_0)\] You'll find that \[x_0 = 1, y_0 = 0, a=2\]. You'll move the function 1 unit to the right (and zero units up or down). a =2 represents the "zoom out" factor. x0 and y0 represent movement in the x and y axis respectively. This works for all other parts of the problem. Alternatively, you can go to http://www.wolframalpha.com, but that's kinda cheating... :-)

Looking for something else?

Not the answer you are looking for? Search for more explanations.