The degree odd or even and the leading coefficient is negative or positive

Answer In particular, If the degree of a polynomial f(x) is even and the leading coefficient is positive, then f(x) → ∞ as x → ±∞. If f(x) is an even degree polynomial with negative leading coefficient, then f(x) → -∞ as x →±∞.
Step-by-step explanation:
Answer:
Even degree.
Positive leading coefficient.
Step-by-step explanation:
Graphs shaped like this (W) are a quartic ( degree 4) function.
It opens upwards and the degree is even.
The leading coefficient is positive
Negative leading coefficient quartic functions are shaped like an M ( open downwards).