Question

Can someone help describe the graph of:

F(x) = (2x - 1) / (x^2 - 4)

Like is it a hyperbola? Ellipse?

Answer 1

Are you allowed to use calculus?

Answer 2

Lol this is pre calc summer assignment.
I think I'm supposed to stick with Algebra II.

Answer 3

Damn would be easier with calculus oh well well do you know how to find asymptotes

Answer 4

Yes.

Answer 5

Well first thing you should do is find asymptotes and draw them on a graph

Answer 6

Zero-s of DENOMINATOR ARE VERTICAL Asymps.

Answer 7

Then sub x values into the function and plot them to get a rough idea of how the function looks

Answer 8

And U hv to analyze the SIGNS on both sides of such asympt - to properly draw the branch directions

Answer 9

Oh I see, Alright.

Answer 10

Make sure to plot a lot of points inbetween asymptotes that are close together :)

Answer 11

Aaaand the HORIZONTAL Asymps are at the Infinities - If they exist at all

Answer 12

Thank you guys <3

Answer 13

If you want I can ruin it and describe the graph to you :)

Answer 14

Mdl Pls

Answer 15

you will want to use the word infliction point

Answer 16

Oh my gosh yes please @Australopithecus

Answer 17

https://www.wolframalpha.com/input/?i=graph+%282x+-+1%29+%2F+%28x^2+-+4%29

Answer 18

InflEction My dear Sir

Answer 19

Oh psh. I've looked at Wolfram already :) And thank you both <3

Answer 20

What about a mdl ??

Answer 21

is the graph,

it is basically a hyperbole with a line that intersects the hyperbole that is increasing with an inflection point

Answer 22

you may want to say where to inflection point is but that is up to you

Answer 23

nevermind it is a decreasing line

Answer 24

sorry I made a mistake

Answer 25

Okay thanks , but I'm so fazed. When in the world am I gonna use this in life? Wasting my time!! Thanks (: You both are absolutely phenomenal <33

Answer 26

you would have to use calculus to solve the for the inflection points location I'm pretty sure

Answer 27

It isn't a waste of life graphs are very important

Answer 28

furthermore if you are younger than 25 you are developing your mind

Answer 29

If you ever want to go into engineering, physics, mathematics, the sciences this stuff can be useful to know and understand

Answer 30

Thats very... Confucius.

Answer 31

well Study hard, and nothing you learn is useless trust me, well except stuff about celebrities that is pretty useless knowledge

Answer 32

It is the truth. What you are learning now is fundamental you may not be able to see the application of it now because you haven't made it far in academia.

Answer 33

Haha well thank you for that virtual lecture. I will actually listen. :) Thnks

Answer 34

yeah sorry for that, I just regret thinking that when I was younger and I'm paying for it now that I'm attending university.