Question

Determine the end behavior of the function:
f(x) = 2x^4 + 3x^3 + 5x^2

Answer 1

leading coefficient is positive, degree is even
it goes up at both ends

Answer 2

So what would the answer be?

x -> ∞ , y -> ∞
x -> -∞, y -> ∞

? It needs to be in that form.

Answer 3

@satellite73 Can you further explain please?

Answer 4

Since it's even polynomial with positive leading coefficient,
When x -> ± ∞, y --> +∞

Answer 5

Great thank you! @Chlorophyll

Answer 6

Therefore, in this case the end behavior always go up both ends ( just repeat what satellite73 has stated above )