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madelyn97
 2 years ago
The function f(x)=x^35x^22x=24 is positive for what parts of its domain?
madelyn97
 2 years ago
The function f(x)=x^35x^22x=24 is positive for what parts of its domain?

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Freyes
 2 years ago
Best ResponseYou've already chosen the best response.1Well in this situation the best thing to do would be to simplify it.. into factors. then you have ranges of test cases to test whether a number is positive in that range

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0is it \[ f(x)=x^35x^22x+24\]

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0did you factor? once you have the three zeros, because this is a third degree polynomial with positive leading coefficient you know it will be negative, then positive, then negative, then positive

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1353208613053:dw

madelyn97
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1353208683477:dw

madelyn97
 2 years ago
Best ResponseYou've already chosen the best response.0but that doesnt work right?

Freyes
 2 years ago
Best ResponseYou've already chosen the best response.1hmm i can factor this one out give me a second

Freyes
 2 years ago
Best ResponseYou've already chosen the best response.1I think what you meant to do was \[(x+2)(x3)(x4)\]

Freyes
 2 years ago
Best ResponseYou've already chosen the best response.1This gives you the ranges of \[(\infty, 2) : (2,3) : (3,4) :( 4,\infty)\]

Freyes
 2 years ago
Best ResponseYou've already chosen the best response.1Then you can just plug a number from each of those ranges in between and just look at the sign.

Freyes
 2 years ago
Best ResponseYou've already chosen the best response.1That'll tell you if it's in the positive range or not
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