curve sketching

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Sketch the graph of y=-5x^2+3x/2x^2-5

x-intercept(3/5,0)
y-intercept(0,0)
vertical asymptotex=-1.58,1.58
horizontal asymptote y=-5/2
y'=-6x^2+50x-15/(2x^2-5)^2
critical points y'=0 x=?
-6x^2+50x-15=0
y''=?
can you continue this quiestion?
please help me. :cry: :cry:
 
batticaloa said:
Sketch the graph of y=-5x^2+3x/2x^2-5
What you have posted (above) means the following:

. . . . .y = -5x<sup>2</sup> + (3x/2x<sup>2</sup>) - 5x

Did you omit some parentheses? Did you actually mean the following?

. . . . .y = (-5x<sup>2</sup> + 3x) / (2x<sup>2</sup> - 5x)

batticaloa said:
can you continue this quiestion?
The instructions (as posted, anyway) only say to "sketch". So pick some x-values, find the corresponding y-values, plot the points, and, once you've got enough dots, draw the line.

Or were there further instructions regarding the tasks you need to complete...?

Eliz.
 
Sketch the following functions, showing all work needed to sketch each curve.

y = (-5x^2 + 3x) / (2x^2-5)
 
batticaloa said:
Sketch the following functions, showing all work needed to sketch each curve.

y = (-5x^2 + 3x) / (2x^2-5)
So would that mean that, yes, I'd guessed your meaning correctly...?

And how does your book define "all work needed"?

Please reply with clear and specific answers. Thank you.

Eliz.
 
1. vertical asymptotes
2.maximum and minimum values
3.points of inflection
 
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