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mikaa_toxica13
 2 years ago
fan and medal awarded
Graph y = x^3 – 2x^2 + 6. Describe what you see.
mikaa_toxica13
 2 years ago
fan and medal awarded Graph y = x^3 – 2x^2 + 6. Describe what you see.

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heathernelly
 2 years ago
Best ResponseYou've already chosen the best response.0type online graphing calculator on google and chose the first one that says holt mcdougal

heathernelly
 2 years ago
Best ResponseYou've already chosen the best response.0then just type it in! :D

mikaa_toxica13
 2 years ago
Best ResponseYou've already chosen the best response.0my pc will lag. so i cant. can u jus help me ??

mikaa_toxica13
 2 years ago
Best ResponseYou've already chosen the best response.0@tcarroll010 can u help

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.2ok, I got a hold of the older version. It looks like:

heathernelly
 2 years ago
Best ResponseYou've already chosen the best response.0yeah, that's what it looks like

mikaa_toxica13
 2 years ago
Best ResponseYou've already chosen the best response.0i need it described

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.2You can see how it has a local maximum at x=0 and a local minimum at around x = 1.something and how it goes off to positive infinity as x gets larger and it goes to negative infinity as x gets smaller.

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.2Are you in calculus?

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.2If you are in calculus, if you take the first degree derivative, then you would see that the local minimum is at x= 4/3. It's good to know that that local minimum is at x= 4/3 even if you are not in calculus. Also, for further description, it has a yintercept at (0, 6). We could try to see if the xintercept is a rational zero.

tcarroll010
 2 years ago
Best ResponseYou've already chosen the best response.2ok, other things that might help you: we already covered that the local max is at (0, 6) and that is of course the yintercept. The xintercept is irrational (the x value for which the function equals "0") but it is approximately (3/2, 0). We already described the end behaviors. The only last thing to say is squarely in the realm of calculus where the graph is "concave down" between x = negative infinity to 2/3 and it is "concave up" between x = 2/3 to positive infinity. "concave up" means that the graph looks like a "bowl" rightside up in that interval. "Concave down" is an inverted bowl. Hope this all helps. When I learned calculus a thousand years ago, this was the extent of everything we needed to know to graph, and we were able to graph these functions by hand with no computer, so since you are in algebra or algebra II, this really should be all you need I would think.
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