What What is the end behavior of the graph of f(x) = 3x4 + 7x3 + 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

Question

What What is the end behavior of the graph of f(x) = 3x4 + 7x3 + 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

parthkohli · Answer

http://www.wolframalpha.com/input/?i=f%28x%29+%3D+3x4+%2B+7x3+%2B+4x+%E2%80%93+4&dataset= Too lazy to graph. See it for yourself.

anonymous · Answer

since its a polynomial of even degree so it will go both sides up.

since $$x ^{4}(3+7/x+4/x ^{2}+4/x ^{3})$$

putting limits $$x =  \pm \infty$$
f(x) tends to +infinity