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anonymous
 one year ago
Describe the end behavior of each function.
A. y=x^4 +5
B. Y=x^5+5x^32x+3
anonymous
 one year ago
Describe the end behavior of each function. A. y=x^4 +5 B. Y=x^5+5x^32x+3

This Question is Closed

misty1212
 one year ago
Best ResponseYou've already chosen the best response.4the first one has degree 4, which is even

misty1212
 one year ago
Best ResponseYou've already chosen the best response.4also it has a positive leading coefficient (it is 1)

misty1212
 one year ago
Best ResponseYou've already chosen the best response.4therefore as \(x\to \infty\) you have \(x^4+5\to\infty\) and as \(x\to \infty\) you have \(y^4+5\to \infty\)

misty1212
 one year ago
Best ResponseYou've already chosen the best response.4dw:1434205740470:dw

misty1212
 one year ago
Best ResponseYou've already chosen the best response.4do you know what a polynomial of odd degree with negative leading coefficient looks like?

misty1212
 one year ago
Best ResponseYou've already chosen the best response.4ok lets start with a polynomial of degree 1, a line, with negative leading coefficient, like say \(y=x+1\) you know what that looks like?

misty1212
 one year ago
Best ResponseYou've already chosen the best response.4it has the same "end behavior' as any polynomial of odd degree with negative leading coefficient

misty1212
 one year ago
Best ResponseYou've already chosen the best response.4you got that? goes to positive infinity as x goes to negative infinity, and negative infinity as x goes to positive infinity

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So the answer is x^4+5 > infinity

misty1212
 one year ago
Best ResponseYou've already chosen the best response.4do you know what "end behavior" means?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Refer to the attachment

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0both a and b are functions that have an odd number as their highest exponential degree. so the as x gets bigger, so does y. and as x gets smaller, so does y. the answer for the limit for both is dw:1434210988972:dw dw:1434211163340:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0just keep ∞ and ∞ in the same equation and ∞ and ∞ in the same equation. for both and you're all set
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