Describe the behavior of the ends of a graph (end behavior) if the degree of the function is an odd number.

Question

Vocaloid · Answer

if the degree is odd, the ends go in different directions (on end will go towards positive infinity and the other end will go to negative infinity). which end goes in which direction depends on the sign of the leading coefficient.

if the leading coefficient is positive ---> the function will go to positive infinity as x goes to infinity, and negative infinity as x goes to negative infinity

if the leading coefficient is negative ---> the function will go to negative infinity as x goes to infinity, and positive infinity as x goes to negative infinity

I'll attach a simple visual demonstration of end behavior for odd degree functions.

OLIVER69 · Answer

@vocaloid wrote:

if the degree is odd, the ends go in different directions (on end will go towards positive infinity and the other end will go to negative infinity). which end goes in which direction depends on the sign of the leading coefficient. if the leading coefficient is positive ---> the function will go to positive infinity as x goes to infinity, and negative infinity as x goes to negative infinity if the leading coefficient is negative ---> the function will go to negative infinity as x goes to infinity, and positive infinity as x goes to negative infinity I'll attach a simple visual demonstration of end behavior for odd degree functions.

thanks @vocaloid

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