Use a graphing calculator to graph f of x equals the quotient of the quantity 3 times x squared minus 8 and the quantity x squared minus 4 and then select the response which is true.

Question

ryanrussell · Answer

please help

malcolmmcswain · Answer

Here's a really great online graphing calculator: http://desmos.com

malcolmmcswain · Answer

See if you can graph the equation there.

ryanrussell · Answer

I tried that one but it doesnt graph it :/

malcolmmcswain · Answer

Well, we first have to find what our function is in numerical form.

malcolmmcswain · Answer

So, we start with f(x) =

malcolmmcswain · Answer

the quantity of 3 times x = 3x

malcolmmcswain · Answer

squared = 3x^2

misty1212 · Answer

i bet it says that in the question right?

malcolmmcswain · Answer

minus 8, so we get 
f(x)=3x^2-8

misty1212 · Answer

$$\frac{3x^2-8}{x^2-4}$$ or sommat

malcolmmcswain · Answer

Yeah that's right misty.

ryanrussell · Answer

These are the answer choices:
1 f increases with bond
2 f has a horizontel line
3 f has no tangent line
4 none of the responses

misty1212 · Answer

i mean i am almost sure the question was not given in wordss

ryanrussell · Answer

ya thats it

misty1212 · Answer

it was given in symbols. @ryanrussell wrote it in words

malcolmmcswain · Answer

Oh ok lol :P

malcolmmcswain · Answer

@ryanrussell plug the equation on to desmos.com

ryanrussell · Answer

i did it doesnt graph it

misty1212 · Answer

@ryanrussell  really a lot easier to use the equation tool below 
the one with the $\Sigma$ 
that way people don't have to translate it

malcolmmcswain · Answer

Ok I plugged it in, look here: https://www.desmos.com/calculator/oacw8qfuus

ryanrussell · Answer

do you know which one of the answer choices it would be

misty1212 · Answer

http://www.wolframalpha.com/input/?i=%283x%5E2-8%29%2F%28x%5E2-4%29

malcolmmcswain · Answer

Well, let's rule some answers out. f does not have a horizontal line

ryanrussell · Answer

yes

malcolmmcswain · Answer

Does f increase with bond?

ryanrussell · Answer

i have no idea

malcolmmcswain · Answer

Yeah, I'm a bit confused as well... I'm not 100% what the definition of bond is in this scenario...

malcolmmcswain · Answer

@misty1212 do you know what an f increase with bond means? Does this mean y increases on both sides when x increases?

malcolmmcswain · Answer

Well, she's gone.

malcolmmcswain · Answer

I can't find it on google either...