1. when x⇒∞, y=∞ and when x⇒-∞, y=-∞
So, we have a odd degree polynomial (x³ or or even
).
The leading coefficient is negative its end behavior matches x³ which has a positive leading coefficient.
2. when x⇒∞, y=∞ and when x⇒-∞, y=∞
So, we have a even degree polynomial (x² or or even
).
And because it matches these parent functions listed above (they all have positive leading coefficients), the leading coefficient is again positive.
answers:
1. odd and positive
2. even and positive