## anonymous one year ago without graphing, describe the end behavior of the graph of the function f(x)=3x^3

1. anonymous

the exponent is odd, hence |dw:1443846217889:dw|

2. anonymous

actually that is not complete the exponent is odd AND the leading coefficient is positive (it is 3)

3. anonymous

my options look like this$A s x--->\infty, f(x)--->-\infty$

4. anonymous

@satellite73

5. Astrophysics

Well the greatest degree determines the end behaviour, in your case the degree is 3 (cube) since you have $y=3x^3$ and your degree is odd, so we look at the ends of the graph (that's why it's called end behaviour). So if we plug infinity/ - infinity in our function, then f(x) will go to positive infinity and negative infinity

6. Astrophysics

That's what it means by x-> infinity, so if you plug in larger numbers in the equation you will get a larger number, in this case f(x) = infinity, and since it's odd, if you plug in x-> - infinity then f(x) = - infinity, hope that makes sense!

7. Astrophysics

So notice odd degrees have two end behaviours