Question

What What is the end behavior of the graph of f(x) = -2x^4 + 7x^2 + 4x - 4?

Left side continues down, right side continues up
Left side continues up, right side continues down
Both sides continue up
Both sides continue down

Answer 1

both sides continue down

Answer 2

Even degree polynomials (in this case 4) have both end behaviours up or down, depending on the sign of the leading term (x^4). Coefficient of x^4 negative means both ends down, positive=> both ends up.